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Finding the Fourth Proportional to 51,470, 77,334.08 and 32,758.12

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Solution

The fourth proportional to 51,470, 77,334.08 and 32,758.12 is: 49,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,470 : 77,334.08 = 32,758.12 : x
  2. Step 2: Convert to fraction form
    51,470/77,334.08 = 32,758.12/x
  3. Step 3: Cross multiply
    51,470x = 77,334.08 × 32,758.12
  4. Step 4: Simplify right side
    51,470x = 2,533,319,072.73
  5. Step 5: Solve for x
    x = 2,533,319,072.73/51,470
  6. Step 6: Final answer
    x = 49,219.33

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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.