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Finding the Fourth Proportional to 32,920.50, 45,430.38 and 18,016.50

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Solution

The fourth proportional to 32,920.50, 45,430.38 and 18,016.50 is: 24,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920.50 : 45,430.38 = 18,016.50 : x
  2. Step 2: Convert to fraction form
    32,920.50/45,430.38 = 18,016.50/x
  3. Step 3: Cross multiply
    32,920.50x = 45,430.38 × 18,016.50
  4. Step 4: Simplify right side
    32,920.50x = 818,496,441.27
  5. Step 5: Solve for x
    x = 818,496,441.27/32,920.50
  6. Step 6: Final answer
    x = 24,862.82

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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.