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Finding the Fourth Proportional to 65,167.24, 97,696.14 and 45,387.40

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Solution

The fourth proportional to 65,167.24, 97,696.14 and 45,387.40 is: 68,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,167.24 : 97,696.14 = 45,387.40 : x
  2. Step 2: Convert to fraction form
    65,167.24/97,696.14 = 45,387.40/x
  3. Step 3: Cross multiply
    65,167.24x = 97,696.14 × 45,387.40
  4. Step 4: Simplify right side
    65,167.24x = 4,434,173,784.64
  5. Step 5: Solve for x
    x = 4,434,173,784.64/65,167.24
  6. Step 6: Final answer
    x = 68,042.99

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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.