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Finding the Fourth Proportional to 65,193.30, 89,966.25 and 36,898.02

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Solution

The fourth proportional to 65,193.30, 89,966.25 and 36,898.02 is: 50,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.30 : 89,966.25 = 36,898.02 : x
  2. Step 2: Convert to fraction form
    65,193.30/89,966.25 = 36,898.02/x
  3. Step 3: Cross multiply
    65,193.30x = 89,966.25 × 36,898.02
  4. Step 4: Simplify right side
    65,193.30x = 3,319,576,491.83
  5. Step 5: Solve for x
    x = 3,319,576,491.83/65,193.30
  6. Step 6: Final answer
    x = 50,918.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.