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Finding the Fourth Proportional to 52,655.92, 78,913.80 and 25,961.16

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Solution

The fourth proportional to 52,655.92, 78,913.80 and 25,961.16 is: 38,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,655.92 : 78,913.80 = 25,961.16 : x
  2. Step 2: Convert to fraction form
    52,655.92/78,913.80 = 25,961.16/x
  3. Step 3: Cross multiply
    52,655.92x = 78,913.80 × 25,961.16
  4. Step 4: Simplify right side
    52,655.92x = 2,048,693,788.01
  5. Step 5: Solve for x
    x = 2,048,693,788.01/52,655.92
  6. Step 6: Final answer
    x = 38,907.19

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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.