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Finding the Fourth Proportional to 38,388.16, 52,957.56 and 22,462.84

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Solution

The fourth proportional to 38,388.16, 52,957.56 and 22,462.84 is: 30,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,388.16 : 52,957.56 = 22,462.84 : x
  2. Step 2: Convert to fraction form
    38,388.16/52,957.56 = 22,462.84/x
  3. Step 3: Cross multiply
    38,388.16x = 52,957.56 × 22,462.84
  4. Step 4: Simplify right side
    38,388.16x = 1,189,577,197.07
  5. Step 5: Solve for x
    x = 1,189,577,197.07/38,388.16
  6. Step 6: Final answer
    x = 30,988.13

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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.