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Finding the Fourth Proportional to 41,509, 57,282.42 and 22,646.53

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Solution

The fourth proportional to 41,509, 57,282.42 and 22,646.53 is: 31,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,509 : 57,282.42 = 22,646.53 : x
  2. Step 2: Convert to fraction form
    41,509/57,282.42 = 22,646.53/x
  3. Step 3: Cross multiply
    41,509x = 57,282.42 × 22,646.53
  4. Step 4: Simplify right side
    41,509x = 1,297,248,043.00
  5. Step 5: Solve for x
    x = 1,297,248,043.00/41,509
  6. Step 6: Final answer
    x = 31,252.21

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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.