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Finding the Fourth Proportional to 99,682.67, 149,524.47 and 24,802.76

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Solution

The fourth proportional to 99,682.67, 149,524.47 and 24,802.76 is: 37,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,682.67 : 149,524.47 = 24,802.76 : x
  2. Step 2: Convert to fraction form
    99,682.67/149,524.47 = 24,802.76/x
  3. Step 3: Cross multiply
    99,682.67x = 149,524.47 × 24,802.76
  4. Step 4: Simplify right side
    99,682.67x = 3,708,618,795.91
  5. Step 5: Solve for x
    x = 3,708,618,795.91/99,682.67
  6. Step 6: Final answer
    x = 37,204.25

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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.