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Finding the Fourth Proportional to 34,725.38, 47,931.95 and 22,150.13

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Solution

The fourth proportional to 34,725.38, 47,931.95 and 22,150.13 is: 30,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,725.38 : 47,931.95 = 22,150.13 : x
  2. Step 2: Convert to fraction form
    34,725.38/47,931.95 = 22,150.13/x
  3. Step 3: Cross multiply
    34,725.38x = 47,931.95 × 22,150.13
  4. Step 4: Simplify right side
    34,725.38x = 1,061,698,739.37
  5. Step 5: Solve for x
    x = 1,061,698,739.37/34,725.38
  6. Step 6: Final answer
    x = 30,574.15

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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.