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Finding the Fourth Proportional to 29,356.90, 40,449.01 and 19,909.06

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Solution

The fourth proportional to 29,356.90, 40,449.01 and 19,909.06 is: 27,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,356.90 : 40,449.01 = 19,909.06 : x
  2. Step 2: Convert to fraction form
    29,356.90/40,449.01 = 19,909.06/x
  3. Step 3: Cross multiply
    29,356.90x = 40,449.01 × 19,909.06
  4. Step 4: Simplify right side
    29,356.90x = 805,301,767.03
  5. Step 5: Solve for x
    x = 805,301,767.03/29,356.90
  6. Step 6: Final answer
    x = 27,431.43

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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.