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Finding the Fourth Proportional to 78,597.84, 108,432.90 and 48,374.04

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Solution

The fourth proportional to 78,597.84, 108,432.90 and 48,374.04 is: 66,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,597.84 : 108,432.90 = 48,374.04 : x
  2. Step 2: Convert to fraction form
    78,597.84/108,432.90 = 48,374.04/x
  3. Step 3: Cross multiply
    78,597.84x = 108,432.90 × 48,374.04
  4. Step 4: Simplify right side
    78,597.84x = 5,245,337,441.92
  5. Step 5: Solve for x
    x = 5,245,337,441.92/78,597.84
  6. Step 6: Final answer
    x = 66,736.41

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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.