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Finding the Fourth Proportional to 32,681, 49,024.23 and 11,625.66

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Solution

The fourth proportional to 32,681, 49,024.23 and 11,625.66 is: 17,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,681 : 49,024.23 = 11,625.66 : x
  2. Step 2: Convert to fraction form
    32,681/49,024.23 = 11,625.66/x
  3. Step 3: Cross multiply
    32,681x = 49,024.23 × 11,625.66
  4. Step 4: Simplify right side
    32,681x = 569,939,029.74
  5. Step 5: Solve for x
    x = 569,939,029.74/32,681
  6. Step 6: Final answer
    x = 17,439.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.