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Finding the Fourth Proportional to 32,805.42, 49,215.93 and 10,618.80

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Solution

The fourth proportional to 32,805.42, 49,215.93 and 10,618.80 is: 15,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805.42 : 49,215.93 = 10,618.80 : x
  2. Step 2: Convert to fraction form
    32,805.42/49,215.93 = 10,618.80/x
  3. Step 3: Cross multiply
    32,805.42x = 49,215.93 × 10,618.80
  4. Step 4: Simplify right side
    32,805.42x = 522,613,871.40
  5. Step 5: Solve for x
    x = 522,613,871.40/32,805.42
  6. Step 6: Final answer
    x = 15,930.72

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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.