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Finding the Fourth Proportional to 40,546, 55,954.56 and 22,641.76

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Solution

The fourth proportional to 40,546, 55,954.56 and 22,641.76 is: 31,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,546 : 55,954.56 = 22,641.76 : x
  2. Step 2: Convert to fraction form
    40,546/55,954.56 = 22,641.76/x
  3. Step 3: Cross multiply
    40,546x = 55,954.56 × 22,641.76
  4. Step 4: Simplify right side
    40,546x = 1,266,909,718.43
  5. Step 5: Solve for x
    x = 1,266,909,718.43/40,546
  6. Step 6: Final answer
    x = 31,246.23

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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.