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Finding the Fourth Proportional to 32,368.56, 48,555 and 10,182.88

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Solution

The fourth proportional to 32,368.56, 48,555 and 10,182.88 is: 15,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,368.56 : 48,555 = 10,182.88 : x
  2. Step 2: Convert to fraction form
    32,368.56/48,555 = 10,182.88/x
  3. Step 3: Cross multiply
    32,368.56x = 48,555 × 10,182.88
  4. Step 4: Simplify right side
    32,368.56x = 494,429,738.40
  5. Step 5: Solve for x
    x = 494,429,738.40/32,368.56
  6. Step 6: Final answer
    x = 15,275.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.