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Finding the Fourth Proportional to 72,418.20, 108,530.10 and 51,617.40

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Solution

The fourth proportional to 72,418.20, 108,530.10 and 51,617.40 is: 77,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,418.20 : 108,530.10 = 51,617.40 : x
  2. Step 2: Convert to fraction form
    72,418.20/108,530.10 = 51,617.40/x
  3. Step 3: Cross multiply
    72,418.20x = 108,530.10 × 51,617.40
  4. Step 4: Simplify right side
    72,418.20x = 5,602,041,583.74
  5. Step 5: Solve for x
    x = 5,602,041,583.74/72,418.20
  6. Step 6: Final answer
    x = 77,356.82

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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.