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Finding the Fourth Proportional to 32,986.85, 49,488.71 and 9,613.22

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Solution

The fourth proportional to 32,986.85, 49,488.71 and 9,613.22 is: 14,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986.85 : 49,488.71 = 9,613.22 : x
  2. Step 2: Convert to fraction form
    32,986.85/49,488.71 = 9,613.22/x
  3. Step 3: Cross multiply
    32,986.85x = 49,488.71 × 9,613.22
  4. Step 4: Simplify right side
    32,986.85x = 475,745,561.24
  5. Step 5: Solve for x
    x = 475,745,561.24/32,986.85
  6. Step 6: Final answer
    x = 14,422.28

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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.