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Finding the Fourth Proportional to 85,903.27, 128,824.02 and 29,728.13

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Solution

The fourth proportional to 85,903.27, 128,824.02 and 29,728.13 is: 44,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,903.27 : 128,824.02 = 29,728.13 : x
  2. Step 2: Convert to fraction form
    85,903.27/128,824.02 = 29,728.13/x
  3. Step 3: Cross multiply
    85,903.27x = 128,824.02 × 29,728.13
  4. Step 4: Simplify right side
    85,903.27x = 3,829,696,569.56
  5. Step 5: Solve for x
    x = 3,829,696,569.56/85,903.27
  6. Step 6: Final answer
    x = 44,581.50

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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.