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Finding the Fourth Proportional to 38,714.48, 53,432.19 and 22,798.92

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Solution

The fourth proportional to 38,714.48, 53,432.19 and 22,798.92 is: 31,466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714.48 : 53,432.19 = 22,798.92 : x
  2. Step 2: Convert to fraction form
    38,714.48/53,432.19 = 22,798.92/x
  3. Step 3: Cross multiply
    38,714.48x = 53,432.19 × 22,798.92
  4. Step 4: Simplify right side
    38,714.48x = 1,218,196,225.23
  5. Step 5: Solve for x
    x = 1,218,196,225.23/38,714.48
  6. Step 6: Final answer
    x = 31,466.17

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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.