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Finding the Fourth Proportional to 78,002.40, 117,003.60 and 38,565.60

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Solution

The fourth proportional to 78,002.40, 117,003.60 and 38,565.60 is: 57,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.40 : 117,003.60 = 38,565.60 : x
  2. Step 2: Convert to fraction form
    78,002.40/117,003.60 = 38,565.60/x
  3. Step 3: Cross multiply
    78,002.40x = 117,003.60 × 38,565.60
  4. Step 4: Simplify right side
    78,002.40x = 4,512,314,036.16
  5. Step 5: Solve for x
    x = 4,512,314,036.16/78,002.40
  6. Step 6: Final answer
    x = 57,848.40

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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.