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Finding the Fourth Proportional to 41,460, 57,214.75 and 22,597.13

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Solution

The fourth proportional to 41,460, 57,214.75 and 22,597.13 is: 31,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,460 : 57,214.75 = 22,597.13 : x
  2. Step 2: Convert to fraction form
    41,460/57,214.75 = 22,597.13/x
  3. Step 3: Cross multiply
    41,460x = 57,214.75 × 22,597.13
  4. Step 4: Simplify right side
    41,460x = 1,292,888,801.10
  5. Step 5: Solve for x
    x = 1,292,888,801.10/41,460
  6. Step 6: Final answer
    x = 31,184.00

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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.