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Finding the Fourth Proportional to 48,300, 66,654.18 and 28,170.78

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Solution

The fourth proportional to 48,300, 66,654.18 and 28,170.78 is: 38,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,300 : 66,654.18 = 28,170.78 : x
  2. Step 2: Convert to fraction form
    48,300/66,654.18 = 28,170.78/x
  3. Step 3: Cross multiply
    48,300x = 66,654.18 × 28,170.78
  4. Step 4: Simplify right side
    48,300x = 1,877,700,240.86
  5. Step 5: Solve for x
    x = 1,877,700,240.86/48,300
  6. Step 6: Final answer
    x = 38,875.78

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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.