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Finding the Fourth Proportional to 87,681.49, 121,000.42 and 47,395.23

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Solution

The fourth proportional to 87,681.49, 121,000.42 and 47,395.23 is: 65,405.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,681.49 : 121,000.42 = 47,395.23 : x
  2. Step 2: Convert to fraction form
    87,681.49/121,000.42 = 47,395.23/x
  3. Step 3: Cross multiply
    87,681.49x = 121,000.42 × 47,395.23
  4. Step 4: Simplify right side
    87,681.49x = 5,734,842,130.99
  5. Step 5: Solve for x
    x = 5,734,842,130.99/87,681.49
  6. Step 6: Final answer
    x = 65,405.39

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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.