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Finding the Fourth Proportional to 78,411.40, 117,617.10 and 47,230.60

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Solution

The fourth proportional to 78,411.40, 117,617.10 and 47,230.60 is: 70,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411.40 : 117,617.10 = 47,230.60 : x
  2. Step 2: Convert to fraction form
    78,411.40/117,617.10 = 47,230.60/x
  3. Step 3: Cross multiply
    78,411.40x = 117,617.10 × 47,230.60
  4. Step 4: Simplify right side
    78,411.40x = 5,555,126,203.26
  5. Step 5: Solve for x
    x = 5,555,126,203.26/78,411.40
  6. Step 6: Final answer
    x = 70,845.90

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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.