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Finding the Fourth Proportional to 32,821, 49,207.50 and 12,044.68

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Solution

The fourth proportional to 32,821, 49,207.50 and 12,044.68 is: 18,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821 : 49,207.50 = 12,044.68 : x
  2. Step 2: Convert to fraction form
    32,821/49,207.50 = 12,044.68/x
  3. Step 3: Cross multiply
    32,821x = 49,207.50 × 12,044.68
  4. Step 4: Simplify right side
    32,821x = 592,688,591.10
  5. Step 5: Solve for x
    x = 592,688,591.10/32,821
  6. Step 6: Final answer
    x = 18,058.21

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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.