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Finding the Fourth Proportional to 65,159.65, 97,741.30 and 23,033.78

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Solution

The fourth proportional to 65,159.65, 97,741.30 and 23,033.78 is: 34,551.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,159.65 : 97,741.30 = 23,033.78 : x
  2. Step 2: Convert to fraction form
    65,159.65/97,741.30 = 23,033.78/x
  3. Step 3: Cross multiply
    65,159.65x = 97,741.30 × 23,033.78
  4. Step 4: Simplify right side
    65,159.65x = 2,251,351,601.11
  5. Step 5: Solve for x
    x = 2,251,351,601.11/65,159.65
  6. Step 6: Final answer
    x = 34,551.32

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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.