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Finding the Fourth Proportional to 52,344, 78,516.86 and 14,905

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Solution

The fourth proportional to 52,344, 78,516.86 and 14,905 is: 22,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,344 : 78,516.86 = 14,905 : x
  2. Step 2: Convert to fraction form
    52,344/78,516.86 = 14,905/x
  3. Step 3: Cross multiply
    52,344x = 78,516.86 × 14,905
  4. Step 4: Simplify right side
    52,344x = 1,170,293,798.30
  5. Step 5: Solve for x
    x = 1,170,293,798.30/52,344
  6. Step 6: Final answer
    x = 22,357.74

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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.