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Finding the Fourth Proportional to 52,345.94, 72,230.38 and 31,117.46

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Solution

The fourth proportional to 52,345.94, 72,230.38 and 31,117.46 is: 42,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,345.94 : 72,230.38 = 31,117.46 : x
  2. Step 2: Convert to fraction form
    52,345.94/72,230.38 = 31,117.46/x
  3. Step 3: Cross multiply
    52,345.94x = 72,230.38 × 31,117.46
  4. Step 4: Simplify right side
    52,345.94x = 2,247,625,960.43
  5. Step 5: Solve for x
    x = 2,247,625,960.43/52,345.94
  6. Step 6: Final answer
    x = 42,937.92

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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.