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Finding the Fourth Proportional to 32,428.77, 48,643.29 and 9,055.14

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Solution

The fourth proportional to 32,428.77, 48,643.29 and 9,055.14 is: 13,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.77 : 48,643.29 = 9,055.14 : x
  2. Step 2: Convert to fraction form
    32,428.77/48,643.29 = 9,055.14/x
  3. Step 3: Cross multiply
    32,428.77x = 48,643.29 × 9,055.14
  4. Step 4: Simplify right side
    32,428.77x = 440,471,801.01
  5. Step 5: Solve for x
    x = 440,471,801.01/32,428.77
  6. Step 6: Final answer
    x = 13,582.75

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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.