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Finding the Fourth Proportional to 32,998.68, 49,506.53 and 11,656.80

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Solution

The fourth proportional to 32,998.68, 49,506.53 and 11,656.80 is: 17,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.68 : 49,506.53 = 11,656.80 : x
  2. Step 2: Convert to fraction form
    32,998.68/49,506.53 = 11,656.80/x
  3. Step 3: Cross multiply
    32,998.68x = 49,506.53 × 11,656.80
  4. Step 4: Simplify right side
    32,998.68x = 577,087,660.62
  5. Step 5: Solve for x
    x = 577,087,660.62/32,998.68
  6. Step 6: Final answer
    x = 17,488.20

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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.