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Finding the Fourth Proportional to 55,715.30, 83,647.11 and 32,358.50

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Solution

The fourth proportional to 55,715.30, 83,647.11 and 32,358.50 is: 48,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,715.30 : 83,647.11 = 32,358.50 : x
  2. Step 2: Convert to fraction form
    55,715.30/83,647.11 = 32,358.50/x
  3. Step 3: Cross multiply
    55,715.30x = 83,647.11 × 32,358.50
  4. Step 4: Simplify right side
    55,715.30x = 2,706,695,008.94
  5. Step 5: Solve for x
    x = 2,706,695,008.94/55,715.30
  6. Step 6: Final answer
    x = 48,580.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.