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Finding the Fourth Proportional to 52,607.87, 78,912.02 and 13,164.87

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Solution

The fourth proportional to 52,607.87, 78,912.02 and 13,164.87 is: 19,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,607.87 : 78,912.02 = 13,164.87 : x
  2. Step 2: Convert to fraction form
    52,607.87/78,912.02 = 13,164.87/x
  3. Step 3: Cross multiply
    52,607.87x = 78,912.02 × 13,164.87
  4. Step 4: Simplify right side
    52,607.87x = 1,038,866,484.74
  5. Step 5: Solve for x
    x = 1,038,866,484.74/52,607.87
  6. Step 6: Final answer
    x = 19,747.36

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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.