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Finding the Fourth Proportional to 98,877.74, 148,315.37 and 23,998.50

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Solution

The fourth proportional to 98,877.74, 148,315.37 and 23,998.50 is: 35,997.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,877.74 : 148,315.37 = 23,998.50 : x
  2. Step 2: Convert to fraction form
    98,877.74/148,315.37 = 23,998.50/x
  3. Step 3: Cross multiply
    98,877.74x = 148,315.37 × 23,998.50
  4. Step 4: Simplify right side
    98,877.74x = 3,559,346,286.95
  5. Step 5: Solve for x
    x = 3,559,346,286.95/98,877.74
  6. Step 6: Final answer
    x = 35,997.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.