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Finding the Fourth Proportional to 78,470.40, 117,532.80 and 54,969.60

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Solution

The fourth proportional to 78,470.40, 117,532.80 and 54,969.60 is: 82,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,470.40 : 117,532.80 = 54,969.60 : x
  2. Step 2: Convert to fraction form
    78,470.40/117,532.80 = 54,969.60/x
  3. Step 3: Cross multiply
    78,470.40x = 117,532.80 × 54,969.60
  4. Step 4: Simplify right side
    78,470.40x = 6,460,731,002.88
  5. Step 5: Solve for x
    x = 6,460,731,002.88/78,470.40
  6. Step 6: Final answer
    x = 82,333.35

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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.