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Finding the Fourth Proportional to 78,059.88, 117,041.22 and 25,461.72

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Solution

The fourth proportional to 78,059.88, 117,041.22 and 25,461.72 is: 38,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.88 : 117,041.22 = 25,461.72 : x
  2. Step 2: Convert to fraction form
    78,059.88/117,041.22 = 25,461.72/x
  3. Step 3: Cross multiply
    78,059.88x = 117,041.22 × 25,461.72
  4. Step 4: Simplify right side
    78,059.88x = 2,980,070,772.10
  5. Step 5: Solve for x
    x = 2,980,070,772.10/78,059.88
  6. Step 6: Final answer
    x = 38,176.73

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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.