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Finding the Fourth Proportional to 29,182, 40,271.16 and 18,010.48

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Solution

The fourth proportional to 29,182, 40,271.16 and 18,010.48 is: 24,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,182 : 40,271.16 = 18,010.48 : x
  2. Step 2: Convert to fraction form
    29,182/40,271.16 = 18,010.48/x
  3. Step 3: Cross multiply
    29,182x = 40,271.16 × 18,010.48
  4. Step 4: Simplify right side
    29,182x = 725,302,921.76
  5. Step 5: Solve for x
    x = 725,302,921.76/29,182
  6. Step 6: Final answer
    x = 24,854.46

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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.