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Finding the Fourth Proportional to 52,407.61, 78,610.47 and 12,964.71

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Solution

The fourth proportional to 52,407.61, 78,610.47 and 12,964.71 is: 19,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.61 : 78,610.47 = 12,964.71 : x
  2. Step 2: Convert to fraction form
    52,407.61/78,610.47 = 12,964.71/x
  3. Step 3: Cross multiply
    52,407.61x = 78,610.47 × 12,964.71
  4. Step 4: Simplify right side
    52,407.61x = 1,019,161,750.50
  5. Step 5: Solve for x
    x = 1,019,161,750.50/52,407.61
  6. Step 6: Final answer
    x = 19,446.83

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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.