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Finding the Fourth Proportional to 52,097.38, 71,897.22 and 29,437.32

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Solution

The fourth proportional to 52,097.38, 71,897.22 and 29,437.32 is: 40,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097.38 : 71,897.22 = 29,437.32 : x
  2. Step 2: Convert to fraction form
    52,097.38/71,897.22 = 29,437.32/x
  3. Step 3: Cross multiply
    52,097.38x = 71,897.22 × 29,437.32
  4. Step 4: Simplify right side
    52,097.38x = 2,116,461,741.86
  5. Step 5: Solve for x
    x = 2,116,461,741.86/52,097.38
  6. Step 6: Final answer
    x = 40,625.11

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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.