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Finding the Fourth Proportional to 32,068, 48,102.72 and 11,008

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Solution

The fourth proportional to 32,068, 48,102.72 and 11,008 is: 16,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,068 : 48,102.72 = 11,008 : x
  2. Step 2: Convert to fraction form
    32,068/48,102.72 = 11,008/x
  3. Step 3: Cross multiply
    32,068x = 48,102.72 × 11,008
  4. Step 4: Simplify right side
    32,068x = 529,514,741.76
  5. Step 5: Solve for x
    x = 529,514,741.76/32,068
  6. Step 6: Final answer
    x = 16,512.25

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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.