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Finding the Fourth Proportional to 65,577.60, 98,470.08 and 51,788.16

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Solution

The fourth proportional to 65,577.60, 98,470.08 and 51,788.16 is: 77,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,577.60 : 98,470.08 = 51,788.16 : x
  2. Step 2: Convert to fraction form
    65,577.60/98,470.08 = 51,788.16/x
  3. Step 3: Cross multiply
    65,577.60x = 98,470.08 × 51,788.16
  4. Step 4: Simplify right side
    65,577.60x = 5,099,584,258.25
  5. Step 5: Solve for x
    x = 5,099,584,258.25/65,577.60
  6. Step 6: Final answer
    x = 77,764.12

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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.