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Finding the Fourth Proportional to 98,184.74, 147,233.37 and 35,811.50

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Solution

The fourth proportional to 98,184.74, 147,233.37 and 35,811.50 is: 53,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184.74 : 147,233.37 = 35,811.50 : x
  2. Step 2: Convert to fraction form
    98,184.74/147,233.37 = 35,811.50/x
  3. Step 3: Cross multiply
    98,184.74x = 147,233.37 × 35,811.50
  4. Step 4: Simplify right side
    98,184.74x = 5,272,647,829.76
  5. Step 5: Solve for x
    x = 5,272,647,829.76/98,184.74
  6. Step 6: Final answer
    x = 53,701.30

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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.