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Finding the Fourth Proportional to 32,428.27, 48,642.54 and 9,054.64

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Solution

The fourth proportional to 32,428.27, 48,642.54 and 9,054.64 is: 13,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428.27 : 48,642.54 = 9,054.64 : x
  2. Step 2: Convert to fraction form
    32,428.27/48,642.54 = 9,054.64/x
  3. Step 3: Cross multiply
    32,428.27x = 48,642.54 × 9,054.64
  4. Step 4: Simplify right side
    32,428.27x = 440,440,688.39
  5. Step 5: Solve for x
    x = 440,440,688.39/32,428.27
  6. Step 6: Final answer
    x = 13,582.00

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Why These Related Problems?

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