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Finding the Fourth Proportional to 96,130.92, 144,212.76 and 29,569.60

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Solution

The fourth proportional to 96,130.92, 144,212.76 and 29,569.60 is: 44,359.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,130.92 : 144,212.76 = 29,569.60 : x
  2. Step 2: Convert to fraction form
    96,130.92/144,212.76 = 29,569.60/x
  3. Step 3: Cross multiply
    96,130.92x = 144,212.76 × 29,569.60
  4. Step 4: Simplify right side
    96,130.92x = 4,264,313,628.10
  5. Step 5: Solve for x
    x = 4,264,313,628.10/96,130.92
  6. Step 6: Final answer
    x = 44,359.44

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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.