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Finding the Fourth Proportional to 65,915.13, 90,962.35 and 35,699.76

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Solution

The fourth proportional to 65,915.13, 90,962.35 and 35,699.76 is: 49,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,915.13 : 90,962.35 = 35,699.76 : x
  2. Step 2: Convert to fraction form
    65,915.13/90,962.35 = 35,699.76/x
  3. Step 3: Cross multiply
    65,915.13x = 90,962.35 × 35,699.76
  4. Step 4: Simplify right side
    65,915.13x = 3,247,334,064.04
  5. Step 5: Solve for x
    x = 3,247,334,064.04/65,915.13
  6. Step 6: Final answer
    x = 49,265.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.