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Finding the Fourth Proportional to 38,497.14, 53,111.12 and 22,575.78

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Solution

The fourth proportional to 38,497.14, 53,111.12 and 22,575.78 is: 31,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.14 : 53,111.12 = 22,575.78 : x
  2. Step 2: Convert to fraction form
    38,497.14/53,111.12 = 22,575.78/x
  3. Step 3: Cross multiply
    38,497.14x = 53,111.12 × 22,575.78
  4. Step 4: Simplify right side
    38,497.14x = 1,199,024,960.67
  5. Step 5: Solve for x
    x = 1,199,024,960.67/38,497.14
  6. Step 6: Final answer
    x = 31,145.82

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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.