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Finding the Fourth Proportional to 32,481, 48,723.35 and 9,109.26

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Solution

The fourth proportional to 32,481, 48,723.35 and 9,109.26 is: 13,664.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,481 : 48,723.35 = 9,109.26 : x
  2. Step 2: Convert to fraction form
    32,481/48,723.35 = 9,109.26/x
  3. Step 3: Cross multiply
    32,481x = 48,723.35 × 9,109.26
  4. Step 4: Simplify right side
    32,481x = 443,833,643.29
  5. Step 5: Solve for x
    x = 443,833,643.29/32,481
  6. Step 6: Final answer
    x = 13,664.41

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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.