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Finding the Fourth Proportional to 32,999, 45,559.20 and 22,924.04

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Solution

The fourth proportional to 32,999, 45,559.20 and 22,924.04 is: 31,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,999 : 45,559.20 = 22,924.04 : x
  2. Step 2: Convert to fraction form
    32,999/45,559.20 = 22,924.04/x
  3. Step 3: Cross multiply
    32,999x = 45,559.20 × 22,924.04
  4. Step 4: Simplify right side
    32,999x = 1,044,400,923.17
  5. Step 5: Solve for x
    x = 1,044,400,923.17/32,999
  6. Step 6: Final answer
    x = 31,649.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.