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Finding the Fourth Proportional to 78,396.86, 117,612.06 and 24,360.42

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Solution

The fourth proportional to 78,396.86, 117,612.06 and 24,360.42 is: 36,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,396.86 : 117,612.06 = 24,360.42 : x
  2. Step 2: Convert to fraction form
    78,396.86/117,612.06 = 24,360.42/x
  3. Step 3: Cross multiply
    78,396.86x = 117,612.06 × 24,360.42
  4. Step 4: Simplify right side
    78,396.86x = 2,865,079,178.67
  5. Step 5: Solve for x
    x = 2,865,079,178.67/78,396.86
  6. Step 6: Final answer
    x = 36,545.84

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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.