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Finding the Fourth Proportional to 38,620.74, 53,301.10 and 23,522.26

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Solution

The fourth proportional to 38,620.74, 53,301.10 and 23,522.26 is: 32,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,620.74 : 53,301.10 = 23,522.26 : x
  2. Step 2: Convert to fraction form
    38,620.74/53,301.10 = 23,522.26/x
  3. Step 3: Cross multiply
    38,620.74x = 53,301.10 × 23,522.26
  4. Step 4: Simplify right side
    38,620.74x = 1,253,762,332.49
  5. Step 5: Solve for x
    x = 1,253,762,332.49/38,620.74
  6. Step 6: Final answer
    x = 32,463.45

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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.