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Finding the Fourth Proportional to 32,974.61, 45,505.80 and 18,828.77

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Solution

The fourth proportional to 32,974.61, 45,505.80 and 18,828.77 is: 25,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.61 : 45,505.80 = 18,828.77 : x
  2. Step 2: Convert to fraction form
    32,974.61/45,505.80 = 18,828.77/x
  3. Step 3: Cross multiply
    32,974.61x = 45,505.80 × 18,828.77
  4. Step 4: Simplify right side
    32,974.61x = 856,818,014.34
  5. Step 5: Solve for x
    x = 856,818,014.34/32,974.61
  6. Step 6: Final answer
    x = 25,984.18

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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.