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Finding the Fourth Proportional to 38,700.74, 53,397.68 and 24,548.42

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Solution

The fourth proportional to 38,700.74, 53,397.68 and 24,548.42 is: 33,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,700.74 : 53,397.68 = 24,548.42 : x
  2. Step 2: Convert to fraction form
    38,700.74/53,397.68 = 24,548.42/x
  3. Step 3: Cross multiply
    38,700.74x = 53,397.68 × 24,548.42
  4. Step 4: Simplify right side
    38,700.74x = 1,310,828,675.67
  5. Step 5: Solve for x
    x = 1,310,828,675.67/38,700.74
  6. Step 6: Final answer
    x = 33,870.89

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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.