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Finding the Fourth Proportional to 32,427.27, 48,641.04 and 9,053.64

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Solution

The fourth proportional to 32,427.27, 48,641.04 and 9,053.64 is: 13,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,427.27 : 48,641.04 = 9,053.64 : x
  2. Step 2: Convert to fraction form
    32,427.27/48,641.04 = 9,053.64/x
  3. Step 3: Cross multiply
    32,427.27x = 48,641.04 × 9,053.64
  4. Step 4: Simplify right side
    32,427.27x = 440,378,465.39
  5. Step 5: Solve for x
    x = 440,378,465.39/32,427.27
  6. Step 6: Final answer
    x = 13,580.50

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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.