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Finding the Fourth Proportional to 32,854.30, 45,342.50 and 20,116.06

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Solution

The fourth proportional to 32,854.30, 45,342.50 and 20,116.06 is: 27,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,854.30 : 45,342.50 = 20,116.06 : x
  2. Step 2: Convert to fraction form
    32,854.30/45,342.50 = 20,116.06/x
  3. Step 3: Cross multiply
    32,854.30x = 45,342.50 × 20,116.06
  4. Step 4: Simplify right side
    32,854.30x = 912,112,236.61
  5. Step 5: Solve for x
    x = 912,112,236.61/32,854.30
  6. Step 6: Final answer
    x = 27,762.34

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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.