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Finding the Fourth Proportional to 32,874.12, 49,313.88 and 10,681.74

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Solution

The fourth proportional to 32,874.12, 49,313.88 and 10,681.74 is: 16,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.12 : 49,313.88 = 10,681.74 : x
  2. Step 2: Convert to fraction form
    32,874.12/49,313.88 = 10,681.74/x
  3. Step 3: Cross multiply
    32,874.12x = 49,313.88 × 10,681.74
  4. Step 4: Simplify right side
    32,874.12x = 526,758,044.55
  5. Step 5: Solve for x
    x = 526,758,044.55/32,874.12
  6. Step 6: Final answer
    x = 16,023.49

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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.