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Finding the Fourth Proportional to 32,509.68, 48,764.48 and 11,733.20

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Solution

The fourth proportional to 32,509.68, 48,764.48 and 11,733.20 is: 17,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.68 : 48,764.48 = 11,733.20 : x
  2. Step 2: Convert to fraction form
    32,509.68/48,764.48 = 11,733.20/x
  3. Step 3: Cross multiply
    32,509.68x = 48,764.48 × 11,733.20
  4. Step 4: Simplify right side
    32,509.68x = 572,163,396.74
  5. Step 5: Solve for x
    x = 572,163,396.74/32,509.68
  6. Step 6: Final answer
    x = 17,599.79

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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.