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Finding the Fourth Proportional to 38,381.50, 52,966.47 and 22,465.18

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Solution

The fourth proportional to 38,381.50, 52,966.47 and 22,465.18 is: 31,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,381.50 : 52,966.47 = 22,465.18 : x
  2. Step 2: Convert to fraction form
    38,381.50/52,966.47 = 22,465.18/x
  3. Step 3: Cross multiply
    38,381.50x = 52,966.47 × 22,465.18
  4. Step 4: Simplify right side
    38,381.50x = 1,189,901,282.51
  5. Step 5: Solve for x
    x = 1,189,901,282.51/38,381.50
  6. Step 6: Final answer
    x = 31,001.95

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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.