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Finding the Fourth Proportional to 58,597.57, 80,864.66 and 31,740

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Solution

The fourth proportional to 58,597.57, 80,864.66 and 31,740 is: 43,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,597.57 : 80,864.66 = 31,740 : x
  2. Step 2: Convert to fraction form
    58,597.57/80,864.66 = 31,740/x
  3. Step 3: Cross multiply
    58,597.57x = 80,864.66 × 31,740
  4. Step 4: Simplify right side
    58,597.57x = 2,566,644,308.40
  5. Step 5: Solve for x
    x = 2,566,644,308.40/58,597.57
  6. Step 6: Final answer
    x = 43,801.21

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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.