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Finding the Fourth Proportional to 38,465.74, 57,654.46 and 17,645.50

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Solution

The fourth proportional to 38,465.74, 57,654.46 and 17,645.50 is: 26,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.74 : 57,654.46 = 17,645.50 : x
  2. Step 2: Convert to fraction form
    38,465.74/57,654.46 = 17,645.50/x
  3. Step 3: Cross multiply
    38,465.74x = 57,654.46 × 17,645.50
  4. Step 4: Simplify right side
    38,465.74x = 1,017,341,773.93
  5. Step 5: Solve for x
    x = 1,017,341,773.93/38,465.74
  6. Step 6: Final answer
    x = 26,448.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.