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Finding the Fourth Proportional to 48,829.84, 67,384.81 and 27,609.86

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Solution

The fourth proportional to 48,829.84, 67,384.81 and 27,609.86 is: 38,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,829.84 : 67,384.81 = 27,609.86 : x
  2. Step 2: Convert to fraction form
    48,829.84/67,384.81 = 27,609.86/x
  3. Step 3: Cross multiply
    48,829.84x = 67,384.81 × 27,609.86
  4. Step 4: Simplify right side
    48,829.84x = 1,860,485,373.20
  5. Step 5: Solve for x
    x = 1,860,485,373.20/48,829.84
  6. Step 6: Final answer
    x = 38,101.40

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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.