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Finding the Fourth Proportional to 58,757.32, 81,085.12 and 31,899.84

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Solution

The fourth proportional to 58,757.32, 81,085.12 and 31,899.84 is: 44,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,757.32 : 81,085.12 = 31,899.84 : x
  2. Step 2: Convert to fraction form
    58,757.32/81,085.12 = 31,899.84/x
  3. Step 3: Cross multiply
    58,757.32x = 81,085.12 × 31,899.84
  4. Step 4: Simplify right side
    58,757.32x = 2,586,602,354.38
  5. Step 5: Solve for x
    x = 2,586,602,354.38/58,757.32
  6. Step 6: Final answer
    x = 44,021.79

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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.