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Finding the Fourth Proportional to 78,294.60, 108,046.00 and 42,483.69

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Solution

The fourth proportional to 78,294.60, 108,046.00 and 42,483.69 is: 58,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.60 : 108,046.00 = 42,483.69 : x
  2. Step 2: Convert to fraction form
    78,294.60/108,046.00 = 42,483.69/x
  3. Step 3: Cross multiply
    78,294.60x = 108,046.00 × 42,483.69
  4. Step 4: Simplify right side
    78,294.60x = 4,590,192,822.84
  5. Step 5: Solve for x
    x = 4,590,192,822.84/78,294.60
  6. Step 6: Final answer
    x = 58,627.20

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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.