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Finding the Fourth Proportional to 42,878.28, 59,171.94 and 24,015

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Solution

The fourth proportional to 42,878.28, 59,171.94 and 24,015 is: 33,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,878.28 : 59,171.94 = 24,015 : x
  2. Step 2: Convert to fraction form
    42,878.28/59,171.94 = 24,015/x
  3. Step 3: Cross multiply
    42,878.28x = 59,171.94 × 24,015
  4. Step 4: Simplify right side
    42,878.28x = 1,421,014,139.10
  5. Step 5: Solve for x
    x = 1,421,014,139.10/42,878.28
  6. Step 6: Final answer
    x = 33,140.65

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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.