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Finding the Fourth Proportional to 53,038.62, 73,190.79 and 29,166.30

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Solution

The fourth proportional to 53,038.62, 73,190.79 and 29,166.30 is: 40,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,038.62 : 73,190.79 = 29,166.30 : x
  2. Step 2: Convert to fraction form
    53,038.62/73,190.79 = 29,166.30/x
  3. Step 3: Cross multiply
    53,038.62x = 73,190.79 × 29,166.30
  4. Step 4: Simplify right side
    53,038.62x = 2,134,704,538.38
  5. Step 5: Solve for x
    x = 2,134,704,538.38/53,038.62
  6. Step 6: Final answer
    x = 40,248.12

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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.