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Finding the Fourth Proportional to 78,410.52, 117,849.06 and 36,886.68

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Solution

The fourth proportional to 78,410.52, 117,849.06 and 36,886.68 is: 55,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.52 : 117,849.06 = 36,886.68 : x
  2. Step 2: Convert to fraction form
    78,410.52/117,849.06 = 36,886.68/x
  3. Step 3: Cross multiply
    78,410.52x = 117,849.06 × 36,886.68
  4. Step 4: Simplify right side
    78,410.52x = 4,347,060,564.52
  5. Step 5: Solve for x
    x = 4,347,060,564.52/78,410.52
  6. Step 6: Final answer
    x = 55,439.76

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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.