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Finding the Fourth Proportional to 42,756, 59,019.74 and 38,271.84

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Solution

The fourth proportional to 42,756, 59,019.74 and 38,271.84 is: 52,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,756 : 59,019.74 = 38,271.84 : x
  2. Step 2: Convert to fraction form
    42,756/59,019.74 = 38,271.84/x
  3. Step 3: Cross multiply
    42,756x = 59,019.74 × 38,271.84
  4. Step 4: Simplify right side
    42,756x = 2,258,794,046.12
  5. Step 5: Solve for x
    x = 2,258,794,046.12/42,756
  6. Step 6: Final answer
    x = 52,829.87

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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.