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Finding the Fourth Proportional to 38,153.17, 52,640.40 and 22,019.18

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Solution

The fourth proportional to 38,153.17, 52,640.40 and 22,019.18 is: 30,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,153.17 : 52,640.40 = 22,019.18 : x
  2. Step 2: Convert to fraction form
    38,153.17/52,640.40 = 22,019.18/x
  3. Step 3: Cross multiply
    38,153.17x = 52,640.40 × 22,019.18
  4. Step 4: Simplify right side
    38,153.17x = 1,159,098,574.47
  5. Step 5: Solve for x
    x = 1,159,098,574.47/38,153.17
  6. Step 6: Final answer
    x = 30,380.14

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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.