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Finding the Fourth Proportional to 67,802.10, 101,921.85 and 48,216.30

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Solution

The fourth proportional to 67,802.10, 101,921.85 and 48,216.30 is: 72,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,802.10 : 101,921.85 = 48,216.30 : x
  2. Step 2: Convert to fraction form
    67,802.10/101,921.85 = 48,216.30/x
  3. Step 3: Cross multiply
    67,802.10x = 101,921.85 × 48,216.30
  4. Step 4: Simplify right side
    67,802.10x = 4,914,294,496.16
  5. Step 5: Solve for x
    x = 4,914,294,496.16/67,802.10
  6. Step 6: Final answer
    x = 72,479.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.