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Finding the Fourth Proportional to 32,982.71, 45,516.02 and 17,875.74

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Solution

The fourth proportional to 32,982.71, 45,516.02 and 17,875.74 is: 24,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.71 : 45,516.02 = 17,875.74 : x
  2. Step 2: Convert to fraction form
    32,982.71/45,516.02 = 17,875.74/x
  3. Step 3: Cross multiply
    32,982.71x = 45,516.02 × 17,875.74
  4. Step 4: Simplify right side
    32,982.71x = 813,632,539.35
  5. Step 5: Solve for x
    x = 813,632,539.35/32,982.71
  6. Step 6: Final answer
    x = 24,668.46

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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.