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Finding the Fourth Proportional to 32,551.52, 48,827.16 and 13,597.52

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Solution

The fourth proportional to 32,551.52, 48,827.16 and 13,597.52 is: 20,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,551.52 : 48,827.16 = 13,597.52 : x
  2. Step 2: Convert to fraction form
    32,551.52/48,827.16 = 13,597.52/x
  3. Step 3: Cross multiply
    32,551.52x = 48,827.16 × 13,597.52
  4. Step 4: Simplify right side
    32,551.52x = 663,928,284.64
  5. Step 5: Solve for x
    x = 663,928,284.64/32,551.52
  6. Step 6: Final answer
    x = 20,396.23

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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.