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Finding the Fourth Proportional to 42,877.84, 59,171.16 and 24,014.98

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Solution

The fourth proportional to 42,877.84, 59,171.16 and 24,014.98 is: 33,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,877.84 : 59,171.16 = 24,014.98 : x
  2. Step 2: Convert to fraction form
    42,877.84/59,171.16 = 24,014.98/x
  3. Step 3: Cross multiply
    42,877.84x = 59,171.16 × 24,014.98
  4. Step 4: Simplify right side
    42,877.84x = 1,420,994,223.98
  5. Step 5: Solve for x
    x = 1,420,994,223.98/42,877.84
  6. Step 6: Final answer
    x = 33,140.53

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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.