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Finding the Fourth Proportional to 32,780.56, 45,237.12 and 17,876.56

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Solution

The fourth proportional to 32,780.56, 45,237.12 and 17,876.56 is: 24,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.56 : 45,237.12 = 17,876.56 : x
  2. Step 2: Convert to fraction form
    32,780.56/45,237.12 = 17,876.56/x
  3. Step 3: Cross multiply
    32,780.56x = 45,237.12 × 17,876.56
  4. Step 4: Simplify right side
    32,780.56x = 808,684,089.91
  5. Step 5: Solve for x
    x = 808,684,089.91/32,780.56
  6. Step 6: Final answer
    x = 24,669.62

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