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Finding the Fourth Proportional to 82,221.48, 113,459.94 and 48,681

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Solution

The fourth proportional to 82,221.48, 113,459.94 and 48,681 is: 67,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,221.48 : 113,459.94 = 48,681 : x
  2. Step 2: Convert to fraction form
    82,221.48/113,459.94 = 48,681/x
  3. Step 3: Cross multiply
    82,221.48x = 113,459.94 × 48,681
  4. Step 4: Simplify right side
    82,221.48x = 5,523,343,339.14
  5. Step 5: Solve for x
    x = 5,523,343,339.14/82,221.48
  6. Step 6: Final answer
    x = 67,176.40

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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.