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Finding the Fourth Proportional to 32,728.16, 49,094.06 and 9,355.20

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Solution

The fourth proportional to 32,728.16, 49,094.06 and 9,355.20 is: 14,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,728.16 : 49,094.06 = 9,355.20 : x
  2. Step 2: Convert to fraction form
    32,728.16/49,094.06 = 9,355.20/x
  3. Step 3: Cross multiply
    32,728.16x = 49,094.06 × 9,355.20
  4. Step 4: Simplify right side
    32,728.16x = 459,284,750.11
  5. Step 5: Solve for x
    x = 459,284,750.11/32,728.16
  6. Step 6: Final answer
    x = 14,033.32

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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.