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Finding the Fourth Proportional to 34,151.82, 47,112.79 and 22,824.12

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Solution

The fourth proportional to 34,151.82, 47,112.79 and 22,824.12 is: 31,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,151.82 : 47,112.79 = 22,824.12 : x
  2. Step 2: Convert to fraction form
    34,151.82/47,112.79 = 22,824.12/x
  3. Step 3: Cross multiply
    34,151.82x = 47,112.79 × 22,824.12
  4. Step 4: Simplify right side
    34,151.82x = 1,075,307,972.49
  5. Step 5: Solve for x
    x = 1,075,307,972.49/34,151.82
  6. Step 6: Final answer
    x = 31,486.11

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1.5x scale

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.