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Finding the Fourth Proportional to 78,346.32, 108,114.90 and 42,535.52

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Solution

The fourth proportional to 78,346.32, 108,114.90 and 42,535.52 is: 58,697.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,346.32 : 108,114.90 = 42,535.52 : x
  2. Step 2: Convert to fraction form
    78,346.32/108,114.90 = 42,535.52/x
  3. Step 3: Cross multiply
    78,346.32x = 108,114.90 × 42,535.52
  4. Step 4: Simplify right side
    78,346.32x = 4,598,723,491.25
  5. Step 5: Solve for x
    x = 4,598,723,491.25/78,346.32
  6. Step 6: Final answer
    x = 58,697.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.