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Finding the Fourth Proportional to 56,332, 84,538.71 and 22,142.87

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Solution

The fourth proportional to 56,332, 84,538.71 and 22,142.87 is: 33,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,332 : 84,538.71 = 22,142.87 : x
  2. Step 2: Convert to fraction form
    56,332/84,538.71 = 22,142.87/x
  3. Step 3: Cross multiply
    56,332x = 84,538.71 × 22,142.87
  4. Step 4: Simplify right side
    56,332x = 1,871,929,554.78
  5. Step 5: Solve for x
    x = 1,871,929,554.78/56,332
  6. Step 6: Final answer
    x = 33,230.31

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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.