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Finding the Fourth Proportional to 32,514.40, 48,773.40 and 9,139

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Solution

The fourth proportional to 32,514.40, 48,773.40 and 9,139 is: 13,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,514.40 : 48,773.40 = 9,139 : x
  2. Step 2: Convert to fraction form
    32,514.40/48,773.40 = 9,139/x
  3. Step 3: Cross multiply
    32,514.40x = 48,773.40 × 9,139
  4. Step 4: Simplify right side
    32,514.40x = 445,740,102.60
  5. Step 5: Solve for x
    x = 445,740,102.60/32,514.40
  6. Step 6: Final answer
    x = 13,709.01

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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.