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Finding the Fourth Proportional to 65,087.16, 97,631.26 and 42,616.78

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Solution

The fourth proportional to 65,087.16, 97,631.26 and 42,616.78 is: 63,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,087.16 : 97,631.26 = 42,616.78 : x
  2. Step 2: Convert to fraction form
    65,087.16/97,631.26 = 42,616.78/x
  3. Step 3: Cross multiply
    65,087.16x = 97,631.26 × 42,616.78
  4. Step 4: Simplify right side
    65,087.16x = 4,160,729,928.54
  5. Step 5: Solve for x
    x = 4,160,729,928.54/65,087.16
  6. Step 6: Final answer
    x = 63,925.51

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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.