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Finding the Fourth Proportional to 96,508.50, 144,750.24 and 29,947.11

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Solution

The fourth proportional to 96,508.50, 144,750.24 and 29,947.11 is: 44,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,508.50 : 144,750.24 = 29,947.11 : x
  2. Step 2: Convert to fraction form
    96,508.50/144,750.24 = 29,947.11/x
  3. Step 3: Cross multiply
    96,508.50x = 144,750.24 × 29,947.11
  4. Step 4: Simplify right side
    96,508.50x = 4,334,851,359.81
  5. Step 5: Solve for x
    x = 4,334,851,359.81/96,508.50
  6. Step 6: Final answer
    x = 44,916.78

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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.