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Finding the Fourth Proportional to 32,982.92, 45,515.94 and 17,875.16

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Solution

The fourth proportional to 32,982.92, 45,515.94 and 17,875.16 is: 24,667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982.92 : 45,515.94 = 17,875.16 : x
  2. Step 2: Convert to fraction form
    32,982.92/45,515.94 = 17,875.16/x
  3. Step 3: Cross multiply
    32,982.92x = 45,515.94 × 17,875.16
  4. Step 4: Simplify right side
    32,982.92x = 813,604,710.05
  5. Step 5: Solve for x
    x = 813,604,710.05/32,982.92
  6. Step 6: Final answer
    x = 24,667.46

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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.