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Finding the Fourth Proportional to 60,209.40, 83,086.62 and 32,985

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Solution

The fourth proportional to 60,209.40, 83,086.62 and 32,985 is: 45,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,209.40 : 83,086.62 = 32,985 : x
  2. Step 2: Convert to fraction form
    60,209.40/83,086.62 = 32,985/x
  3. Step 3: Cross multiply
    60,209.40x = 83,086.62 × 32,985
  4. Step 4: Simplify right side
    60,209.40x = 2,740,612,160.70
  5. Step 5: Solve for x
    x = 2,740,612,160.70/60,209.40
  6. Step 6: Final answer
    x = 45,518.01

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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.