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Finding the Fourth Proportional to 47,458.80, 71,223.21 and 22,498.74

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Solution

The fourth proportional to 47,458.80, 71,223.21 and 22,498.74 is: 33,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,458.80 : 71,223.21 = 22,498.74 : x
  2. Step 2: Convert to fraction form
    47,458.80/71,223.21 = 22,498.74/x
  3. Step 3: Cross multiply
    47,458.80x = 71,223.21 × 22,498.74
  4. Step 4: Simplify right side
    47,458.80x = 1,602,432,483.76
  5. Step 5: Solve for x
    x = 1,602,432,483.76/47,458.80
  6. Step 6: Final answer
    x = 33,764.71

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1.5x scale

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.