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Finding the Fourth Proportional to 38,549.96, 53,193.40 and 22,416.72

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Solution

The fourth proportional to 38,549.96, 53,193.40 and 22,416.72 is: 30,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,549.96 : 53,193.40 = 22,416.72 : x
  2. Step 2: Convert to fraction form
    38,549.96/53,193.40 = 22,416.72/x
  3. Step 3: Cross multiply
    38,549.96x = 53,193.40 × 22,416.72
  4. Step 4: Simplify right side
    38,549.96x = 1,192,421,553.65
  5. Step 5: Solve for x
    x = 1,192,421,553.65/38,549.96
  6. Step 6: Final answer
    x = 30,931.85

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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.