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Finding the Fourth Proportional to 38,842.32, 53,612.19 and 22,931.76

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Solution

The fourth proportional to 38,842.32, 53,612.19 and 22,931.76 is: 31,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842.32 : 53,612.19 = 22,931.76 : x
  2. Step 2: Convert to fraction form
    38,842.32/53,612.19 = 22,931.76/x
  3. Step 3: Cross multiply
    38,842.32x = 53,612.19 × 22,931.76
  4. Step 4: Simplify right side
    38,842.32x = 1,229,421,874.15
  5. Step 5: Solve for x
    x = 1,229,421,874.15/38,842.32
  6. Step 6: Final answer
    x = 31,651.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.