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Finding the Fourth Proportional to 65,253.60, 97,880.40 and 34,098.40

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Solution

The fourth proportional to 65,253.60, 97,880.40 and 34,098.40 is: 51,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.60 : 97,880.40 = 34,098.40 : x
  2. Step 2: Convert to fraction form
    65,253.60/97,880.40 = 34,098.40/x
  3. Step 3: Cross multiply
    65,253.60x = 97,880.40 × 34,098.40
  4. Step 4: Simplify right side
    65,253.60x = 3,337,565,031.36
  5. Step 5: Solve for x
    x = 3,337,565,031.36/65,253.60
  6. Step 6: Final answer
    x = 51,147.60

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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.