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Finding the Fourth Proportional to 71,301, 106,957.26 and 22,053

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Solution

The fourth proportional to 71,301, 106,957.26 and 22,053 is: 33,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301 : 106,957.26 = 22,053 : x
  2. Step 2: Convert to fraction form
    71,301/106,957.26 = 22,053/x
  3. Step 3: Cross multiply
    71,301x = 106,957.26 × 22,053
  4. Step 4: Simplify right side
    71,301x = 2,358,728,454.78
  5. Step 5: Solve for x
    x = 2,358,728,454.78/71,301
  6. Step 6: Final answer
    x = 33,081.28

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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.