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Finding the Fourth Proportional to 48,830.56, 67,387.50 and 27,613

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Solution

The fourth proportional to 48,830.56, 67,387.50 and 27,613 is: 38,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,830.56 : 67,387.50 = 27,613 : x
  2. Step 2: Convert to fraction form
    48,830.56/67,387.50 = 27,613/x
  3. Step 3: Cross multiply
    48,830.56x = 67,387.50 × 27,613
  4. Step 4: Simplify right side
    48,830.56x = 1,860,771,037.50
  5. Step 5: Solve for x
    x = 1,860,771,037.50/48,830.56
  6. Step 6: Final answer
    x = 38,106.69

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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.