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Finding the Fourth Proportional to 32,811.68, 49,193.68 and 13,084.32

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Solution

The fourth proportional to 32,811.68, 49,193.68 and 13,084.32 is: 19,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.68 : 49,193.68 = 13,084.32 : x
  2. Step 2: Convert to fraction form
    32,811.68/49,193.68 = 13,084.32/x
  3. Step 3: Cross multiply
    32,811.68x = 49,193.68 × 13,084.32
  4. Step 4: Simplify right side
    32,811.68x = 643,665,851.10
  5. Step 5: Solve for x
    x = 643,665,851.10/32,811.68
  6. Step 6: Final answer
    x = 19,616.97

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1.5x scale

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.