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Finding the Fourth Proportional to 31,221.76, 46,830.78 and 9,034.63

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Solution

The fourth proportional to 31,221.76, 46,830.78 and 9,034.63 is: 13,551.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221.76 : 46,830.78 = 9,034.63 : x
  2. Step 2: Convert to fraction form
    31,221.76/46,830.78 = 9,034.63/x
  3. Step 3: Cross multiply
    31,221.76x = 46,830.78 × 9,034.63
  4. Step 4: Simplify right side
    31,221.76x = 423,098,618.95
  5. Step 5: Solve for x
    x = 423,098,618.95/31,221.76
  6. Step 6: Final answer
    x = 13,551.40

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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.