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Finding the Fourth Proportional to 65,248.34, 97,702.29 and 35,604.90

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Solution

The fourth proportional to 65,248.34, 97,702.29 and 35,604.90 is: 53,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,248.34 : 97,702.29 = 35,604.90 : x
  2. Step 2: Convert to fraction form
    65,248.34/97,702.29 = 35,604.90/x
  3. Step 3: Cross multiply
    65,248.34x = 97,702.29 × 35,604.90
  4. Step 4: Simplify right side
    65,248.34x = 3,478,680,265.22
  5. Step 5: Solve for x
    x = 3,478,680,265.22/65,248.34
  6. Step 6: Final answer
    x = 53,314.47

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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.