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Finding the Fourth Proportional to 32,140.16, 48,216.72 and 11,378.24

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Solution

The fourth proportional to 32,140.16, 48,216.72 and 11,378.24 is: 17,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.16 : 48,216.72 = 11,378.24 : x
  2. Step 2: Convert to fraction form
    32,140.16/48,216.72 = 11,378.24/x
  3. Step 3: Cross multiply
    32,140.16x = 48,216.72 × 11,378.24
  4. Step 4: Simplify right side
    32,140.16x = 548,621,412.17
  5. Step 5: Solve for x
    x = 548,621,412.17/32,140.16
  6. Step 6: Final answer
    x = 17,069.65

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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.