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Finding the Fourth Proportional to 78,234.35, 107,963.36 and 42,424.25

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Solution

The fourth proportional to 78,234.35, 107,963.36 and 42,424.25 is: 58,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.35 : 107,963.36 = 42,424.25 : x
  2. Step 2: Convert to fraction form
    78,234.35/107,963.36 = 42,424.25/x
  3. Step 3: Cross multiply
    78,234.35x = 107,963.36 × 42,424.25
  4. Step 4: Simplify right side
    78,234.35x = 4,580,264,575.48
  5. Step 5: Solve for x
    x = 4,580,264,575.48/78,234.35
  6. Step 6: Final answer
    x = 58,545.44

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1.5x scale

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.