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Finding the Fourth Proportional to 29,894.16, 41,252.04 and 17,958

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Solution

The fourth proportional to 29,894.16, 41,252.04 and 17,958 is: 24,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.16 : 41,252.04 = 17,958 : x
  2. Step 2: Convert to fraction form
    29,894.16/41,252.04 = 17,958/x
  3. Step 3: Cross multiply
    29,894.16x = 41,252.04 × 17,958
  4. Step 4: Simplify right side
    29,894.16x = 740,804,134.32
  5. Step 5: Solve for x
    x = 740,804,134.32/29,894.16
  6. Step 6: Final answer
    x = 24,780.90

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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.