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Finding the Fourth Proportional to 67,881.16, 101,802.30 and 23,496.40

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Solution

The fourth proportional to 67,881.16, 101,802.30 and 23,496.40 is: 35,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,881.16 : 101,802.30 = 23,496.40 : x
  2. Step 2: Convert to fraction form
    67,881.16/101,802.30 = 23,496.40/x
  3. Step 3: Cross multiply
    67,881.16x = 101,802.30 × 23,496.40
  4. Step 4: Simplify right side
    67,881.16x = 2,391,987,561.72
  5. Step 5: Solve for x
    x = 2,391,987,561.72/67,881.16
  6. Step 6: Final answer
    x = 35,237.87

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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.