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Finding the Fourth Proportional to 29,848.41, 41,177.00 and 17,891.00

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Solution

The fourth proportional to 29,848.41, 41,177.00 and 17,891.00 is: 24,681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,848.41 : 41,177.00 = 17,891.00 : x
  2. Step 2: Convert to fraction form
    29,848.41/41,177.00 = 17,891.00/x
  3. Step 3: Cross multiply
    29,848.41x = 41,177.00 × 17,891.00
  4. Step 4: Simplify right side
    29,848.41x = 736,697,411.66
  5. Step 5: Solve for x
    x = 736,697,411.66/29,848.41
  6. Step 6: Final answer
    x = 24,681.29

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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.