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Finding the Fourth Proportional to 32,374.82, 48,566.48 and 11,315.22

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Solution

The fourth proportional to 32,374.82, 48,566.48 and 11,315.22 is: 16,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374.82 : 48,566.48 = 11,315.22 : x
  2. Step 2: Convert to fraction form
    32,374.82/48,566.48 = 11,315.22/x
  3. Step 3: Cross multiply
    32,374.82x = 48,566.48 × 11,315.22
  4. Step 4: Simplify right side
    32,374.82x = 549,540,349.25
  5. Step 5: Solve for x
    x = 549,540,349.25/32,374.82
  6. Step 6: Final answer
    x = 16,974.32

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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.