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Finding the Fourth Proportional to 32,196, 48,298.32 and 13,732.32

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Solution

The fourth proportional to 32,196, 48,298.32 and 13,732.32 is: 20,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196 : 48,298.32 = 13,732.32 : x
  2. Step 2: Convert to fraction form
    32,196/48,298.32 = 13,732.32/x
  3. Step 3: Cross multiply
    32,196x = 48,298.32 × 13,732.32
  4. Step 4: Simplify right side
    32,196x = 663,247,985.70
  5. Step 5: Solve for x
    x = 663,247,985.70/32,196
  6. Step 6: Final answer
    x = 20,600.32

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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.