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Finding the Fourth Proportional to 78,442.52, 117,678.36 and 25,855.72

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Solution

The fourth proportional to 78,442.52, 117,678.36 and 25,855.72 is: 38,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.52 : 117,678.36 = 25,855.72 : x
  2. Step 2: Convert to fraction form
    78,442.52/117,678.36 = 25,855.72/x
  3. Step 3: Cross multiply
    78,442.52x = 117,678.36 × 25,855.72
  4. Step 4: Simplify right side
    78,442.52x = 3,042,658,726.22
  5. Step 5: Solve for x
    x = 3,042,658,726.22/78,442.52
  6. Step 6: Final answer
    x = 38,788.39

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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.