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Finding the Fourth Proportional to 48,700.84, 67,193.70 and 30,567.40

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Solution

The fourth proportional to 48,700.84, 67,193.70 and 30,567.40 is: 42,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,700.84 : 67,193.70 = 30,567.40 : x
  2. Step 2: Convert to fraction form
    48,700.84/67,193.70 = 30,567.40/x
  3. Step 3: Cross multiply
    48,700.84x = 67,193.70 × 30,567.40
  4. Step 4: Simplify right side
    48,700.84x = 2,053,936,705.38
  5. Step 5: Solve for x
    x = 2,053,936,705.38/48,700.84
  6. Step 6: Final answer
    x = 42,174.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.