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Finding the Fourth Proportional to 38,242.50, 52,777.98 and 22,332.07

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Solution

The fourth proportional to 38,242.50, 52,777.98 and 22,332.07 is: 30,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,242.50 : 52,777.98 = 22,332.07 : x
  2. Step 2: Convert to fraction form
    38,242.50/52,777.98 = 22,332.07/x
  3. Step 3: Cross multiply
    38,242.50x = 52,777.98 × 22,332.07
  4. Step 4: Simplify right side
    38,242.50x = 1,178,641,609.79
  5. Step 5: Solve for x
    x = 1,178,641,609.79/38,242.50
  6. Step 6: Final answer
    x = 30,820.21

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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.