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Finding the Fourth Proportional to 32,334.12, 48,506.04 and 11,556

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Solution

The fourth proportional to 32,334.12, 48,506.04 and 11,556 is: 17,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,334.12 : 48,506.04 = 11,556 : x
  2. Step 2: Convert to fraction form
    32,334.12/48,506.04 = 11,556/x
  3. Step 3: Cross multiply
    32,334.12x = 48,506.04 × 11,556
  4. Step 4: Simplify right side
    32,334.12x = 560,535,798.24
  5. Step 5: Solve for x
    x = 560,535,798.24/32,334.12
  6. Step 6: Final answer
    x = 17,335.74

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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.