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Finding the Fourth Proportional to 31,642.17, 47,537.07 and 18,503.79

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Solution

The fourth proportional to 31,642.17, 47,537.07 and 18,503.79 is: 27,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.17 : 47,537.07 = 18,503.79 : x
  2. Step 2: Convert to fraction form
    31,642.17/47,537.07 = 18,503.79/x
  3. Step 3: Cross multiply
    31,642.17x = 47,537.07 × 18,503.79
  4. Step 4: Simplify right side
    31,642.17x = 879,615,960.50
  5. Step 5: Solve for x
    x = 879,615,960.50/31,642.17
  6. Step 6: Final answer
    x = 27,798.85

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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.