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Finding the Fourth Proportional to 32,617.65, 45,016.65 and 18,471

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Solution

The fourth proportional to 32,617.65, 45,016.65 and 18,471 is: 25,492.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.65 : 45,016.65 = 18,471 : x
  2. Step 2: Convert to fraction form
    32,617.65/45,016.65 = 18,471/x
  3. Step 3: Cross multiply
    32,617.65x = 45,016.65 × 18,471
  4. Step 4: Simplify right side
    32,617.65x = 831,502,542.15
  5. Step 5: Solve for x
    x = 831,502,542.15/32,617.65
  6. Step 6: Final answer
    x = 25,492.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.