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Finding the Fourth Proportional to 35,642.64, 49,184.72 and 19,726.14

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Solution

The fourth proportional to 35,642.64, 49,184.72 and 19,726.14 is: 27,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.64 : 49,184.72 = 19,726.14 : x
  2. Step 2: Convert to fraction form
    35,642.64/49,184.72 = 19,726.14/x
  3. Step 3: Cross multiply
    35,642.64x = 49,184.72 × 19,726.14
  4. Step 4: Simplify right side
    35,642.64x = 970,224,672.58
  5. Step 5: Solve for x
    x = 970,224,672.58/35,642.64
  6. Step 6: Final answer
    x = 27,220.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.