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Finding the Fourth Proportional to 82,897.59, 114,398.82 and 45,171.84

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Solution

The fourth proportional to 82,897.59, 114,398.82 and 45,171.84 is: 62,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,897.59 : 114,398.82 = 45,171.84 : x
  2. Step 2: Convert to fraction form
    82,897.59/114,398.82 = 45,171.84/x
  3. Step 3: Cross multiply
    82,897.59x = 114,398.82 × 45,171.84
  4. Step 4: Simplify right side
    82,897.59x = 5,167,605,193.23
  5. Step 5: Solve for x
    x = 5,167,605,193.23/82,897.59
  6. Step 6: Final answer
    x = 62,337.22

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