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Finding the Fourth Proportional to 96,283.92, 144,439.56 and 29,729.52

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Solution

The fourth proportional to 96,283.92, 144,439.56 and 29,729.52 is: 44,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,283.92 : 144,439.56 = 29,729.52 : x
  2. Step 2: Convert to fraction form
    96,283.92/144,439.56 = 29,729.52/x
  3. Step 3: Cross multiply
    96,283.92x = 144,439.56 × 29,729.52
  4. Step 4: Simplify right side
    96,283.92x = 4,294,118,787.81
  5. Step 5: Solve for x
    x = 4,294,118,787.81/96,283.92
  6. Step 6: Final answer
    x = 44,598.50

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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.