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Finding the Fourth Proportional to 52,052.92, 78,066.90 and 14,614.60

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Solution

The fourth proportional to 52,052.92, 78,066.90 and 14,614.60 is: 21,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052.92 : 78,066.90 = 14,614.60 : x
  2. Step 2: Convert to fraction form
    52,052.92/78,066.90 = 14,614.60/x
  3. Step 3: Cross multiply
    52,052.92x = 78,066.90 × 14,614.60
  4. Step 4: Simplify right side
    52,052.92x = 1,140,916,516.74
  5. Step 5: Solve for x
    x = 1,140,916,516.74/52,052.92
  6. Step 6: Final answer
    x = 21,918.40

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Why These Related Problems?

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