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Finding the Fourth Proportional to 58,765.26, 81,097.80 and 31,909.51

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Solution

The fourth proportional to 58,765.26, 81,097.80 and 31,909.51 is: 44,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,765.26 : 81,097.80 = 31,909.51 : x
  2. Step 2: Convert to fraction form
    58,765.26/81,097.80 = 31,909.51/x
  3. Step 3: Cross multiply
    58,765.26x = 81,097.80 × 31,909.51
  4. Step 4: Simplify right side
    58,765.26x = 2,587,791,060.08
  5. Step 5: Solve for x
    x = 2,587,791,060.08/58,765.26
  6. Step 6: Final answer
    x = 44,036.07

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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.