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Finding the Fourth Proportional to 38,125.84, 57,064.56 and 34,488.40

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Solution

The fourth proportional to 38,125.84, 57,064.56 and 34,488.40 is: 51,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,125.84 : 57,064.56 = 34,488.40 : x
  2. Step 2: Convert to fraction form
    38,125.84/57,064.56 = 34,488.40/x
  3. Step 3: Cross multiply
    38,125.84x = 57,064.56 × 34,488.40
  4. Step 4: Simplify right side
    38,125.84x = 1,968,065,371.10
  5. Step 5: Solve for x
    x = 1,968,065,371.10/38,125.84
  6. Step 6: Final answer
    x = 51,620.25

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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.