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Finding the Fourth Proportional to 34,115.34, 47,024.64 and 22,762.38

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Solution

The fourth proportional to 34,115.34, 47,024.64 and 22,762.38 is: 31,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115.34 : 47,024.64 = 22,762.38 : x
  2. Step 2: Convert to fraction form
    34,115.34/47,024.64 = 22,762.38/x
  3. Step 3: Cross multiply
    34,115.34x = 47,024.64 × 22,762.38
  4. Step 4: Simplify right side
    34,115.34x = 1,070,392,725.04
  5. Step 5: Solve for x
    x = 1,070,392,725.04/34,115.34
  6. Step 6: Final answer
    x = 31,375.70

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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.