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Finding the Fourth Proportional to 43,460.84, 59,977.14 and 24,599

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Solution

The fourth proportional to 43,460.84, 59,977.14 and 24,599 is: 33,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,460.84 : 59,977.14 = 24,599 : x
  2. Step 2: Convert to fraction form
    43,460.84/59,977.14 = 24,599/x
  3. Step 3: Cross multiply
    43,460.84x = 59,977.14 × 24,599
  4. Step 4: Simplify right side
    43,460.84x = 1,475,377,666.86
  5. Step 5: Solve for x
    x = 1,475,377,666.86/43,460.84
  6. Step 6: Final answer
    x = 33,947.29

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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.