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Finding the Fourth Proportional to 67,883.60, 101,825.40 and 65,004.14

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Solution

The fourth proportional to 67,883.60, 101,825.40 and 65,004.14 is: 97,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,883.60 : 101,825.40 = 65,004.14 : x
  2. Step 2: Convert to fraction form
    67,883.60/101,825.40 = 65,004.14/x
  3. Step 3: Cross multiply
    67,883.60x = 101,825.40 × 65,004.14
  4. Step 4: Simplify right side
    67,883.60x = 6,619,072,557.16
  5. Step 5: Solve for x
    x = 6,619,072,557.16/67,883.60
  6. Step 6: Final answer
    x = 97,506.21

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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.