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Finding the Fourth Proportional to 52,498, 72,447.24 and 30,146.32

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Solution

The fourth proportional to 52,498, 72,447.24 and 30,146.32 is: 41,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498 : 72,447.24 = 30,146.32 : x
  2. Step 2: Convert to fraction form
    52,498/72,447.24 = 30,146.32/x
  3. Step 3: Cross multiply
    52,498x = 72,447.24 × 30,146.32
  4. Step 4: Simplify right side
    52,498x = 2,184,017,680.16
  5. Step 5: Solve for x
    x = 2,184,017,680.16/52,498
  6. Step 6: Final answer
    x = 41,601.92

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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.