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Finding the Fourth Proportional to 34,649.67, 51,616.92 and 32,498.31

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Solution

The fourth proportional to 34,649.67, 51,616.92 and 32,498.31 is: 48,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.67 : 51,616.92 = 32,498.31 : x
  2. Step 2: Convert to fraction form
    34,649.67/51,616.92 = 32,498.31/x
  3. Step 3: Cross multiply
    34,649.67x = 51,616.92 × 32,498.31
  4. Step 4: Simplify right side
    34,649.67x = 1,677,462,667.41
  5. Step 5: Solve for x
    x = 1,677,462,667.41/34,649.67
  6. Step 6: Final answer
    x = 48,412.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.