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Finding the Fourth Proportional to 38,459.34, 53,079.12 and 22,550.13

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Solution

The fourth proportional to 38,459.34, 53,079.12 and 22,550.13 is: 31,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459.34 : 53,079.12 = 22,550.13 : x
  2. Step 2: Convert to fraction form
    38,459.34/53,079.12 = 22,550.13/x
  3. Step 3: Cross multiply
    38,459.34x = 53,079.12 × 22,550.13
  4. Step 4: Simplify right side
    38,459.34x = 1,196,941,056.29
  5. Step 5: Solve for x
    x = 1,196,941,056.29/38,459.34
  6. Step 6: Final answer
    x = 31,122.25

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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.