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Finding the Fourth Proportional to 32,467.32, 48,703.76 and 11,405.53

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Solution

The fourth proportional to 32,467.32, 48,703.76 and 11,405.53 is: 17,109.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.32 : 48,703.76 = 11,405.53 : x
  2. Step 2: Convert to fraction form
    32,467.32/48,703.76 = 11,405.53/x
  3. Step 3: Cross multiply
    32,467.32x = 48,703.76 × 11,405.53
  4. Step 4: Simplify right side
    32,467.32x = 555,492,195.79
  5. Step 5: Solve for x
    x = 555,492,195.79/32,467.32
  6. Step 6: Final answer
    x = 17,109.27

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