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Finding the Fourth Proportional to 29,978.91, 41,374.40 and 24,934.23

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Solution

The fourth proportional to 29,978.91, 41,374.40 and 24,934.23 is: 34,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.91 : 41,374.40 = 24,934.23 : x
  2. Step 2: Convert to fraction form
    29,978.91/41,374.40 = 24,934.23/x
  3. Step 3: Cross multiply
    29,978.91x = 41,374.40 × 24,934.23
  4. Step 4: Simplify right side
    29,978.91x = 1,031,638,681.04
  5. Step 5: Solve for x
    x = 1,031,638,681.04/29,978.91
  6. Step 6: Final answer
    x = 34,412.15

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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.