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Finding the Fourth Proportional to 78,065.40, 117,069.30 and 25,476.60

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Solution

The fourth proportional to 78,065.40, 117,069.30 and 25,476.60 is: 38,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,065.40 : 117,069.30 = 25,476.60 : x
  2. Step 2: Convert to fraction form
    78,065.40/117,069.30 = 25,476.60/x
  3. Step 3: Cross multiply
    78,065.40x = 117,069.30 × 25,476.60
  4. Step 4: Simplify right side
    78,065.40x = 2,982,527,728.38
  5. Step 5: Solve for x
    x = 2,982,527,728.38/78,065.40
  6. Step 6: Final answer
    x = 38,205.50

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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.