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Finding the Fourth Proportional to 138,486.46, 207,823.04 and 48,529.98

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Solution

The fourth proportional to 138,486.46, 207,823.04 and 48,529.98 is: 72,827.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,486.46 : 207,823.04 = 48,529.98 : x
  2. Step 2: Convert to fraction form
    138,486.46/207,823.04 = 48,529.98/x
  3. Step 3: Cross multiply
    138,486.46x = 207,823.04 × 48,529.98
  4. Step 4: Simplify right side
    138,486.46x = 10,085,647,974.74
  5. Step 5: Solve for x
    x = 10,085,647,974.74/138,486.46
  6. Step 6: Final answer
    x = 72,827.68

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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.