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Finding the Fourth Proportional to 41,454, 57,208.80 and 22,590.72

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Solution

The fourth proportional to 41,454, 57,208.80 and 22,590.72 is: 31,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,454 : 57,208.80 = 22,590.72 : x
  2. Step 2: Convert to fraction form
    41,454/57,208.80 = 22,590.72/x
  3. Step 3: Cross multiply
    41,454x = 57,208.80 × 22,590.72
  4. Step 4: Simplify right side
    41,454x = 1,292,387,982.34
  5. Step 5: Solve for x
    x = 1,292,387,982.34/41,454
  6. Step 6: Final answer
    x = 31,176.44

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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.