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Finding the Fourth Proportional to 58,582.30, 80,842.57 and 31,724.59

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Solution

The fourth proportional to 58,582.30, 80,842.57 and 31,724.59 is: 43,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,582.30 : 80,842.57 = 31,724.59 : x
  2. Step 2: Convert to fraction form
    58,582.30/80,842.57 = 31,724.59/x
  3. Step 3: Cross multiply
    58,582.30x = 80,842.57 × 31,724.59
  4. Step 4: Simplify right side
    58,582.30x = 2,564,697,387.80
  5. Step 5: Solve for x
    x = 2,564,697,387.80/58,582.30
  6. Step 6: Final answer
    x = 43,779.39

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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.