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Finding the Fourth Proportional to 78,640.34, 108,524.88 and 42,830.30

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Solution

The fourth proportional to 78,640.34, 108,524.88 and 42,830.30 is: 59,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640.34 : 108,524.88 = 42,830.30 : x
  2. Step 2: Convert to fraction form
    78,640.34/108,524.88 = 42,830.30/x
  3. Step 3: Cross multiply
    78,640.34x = 108,524.88 × 42,830.30
  4. Step 4: Simplify right side
    78,640.34x = 4,648,153,167.86
  5. Step 5: Solve for x
    x = 4,648,153,167.86/78,640.34
  6. Step 6: Final answer
    x = 59,106.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.