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Finding the Fourth Proportional to 59,548.68, 82,178.22 and 32,693.70

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Solution

The fourth proportional to 59,548.68, 82,178.22 and 32,693.70 is: 45,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,548.68 : 82,178.22 = 32,693.70 : x
  2. Step 2: Convert to fraction form
    59,548.68/82,178.22 = 32,693.70/x
  3. Step 3: Cross multiply
    59,548.68x = 82,178.22 × 32,693.70
  4. Step 4: Simplify right side
    59,548.68x = 2,686,710,071.21
  5. Step 5: Solve for x
    x = 2,686,710,071.21/59,548.68
  6. Step 6: Final answer
    x = 45,117.88

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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.