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Finding the Fourth Proportional to 32,633.80, 48,926.70 and 10,434.36

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Solution

The fourth proportional to 32,633.80, 48,926.70 and 10,434.36 is: 15,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633.80 : 48,926.70 = 10,434.36 : x
  2. Step 2: Convert to fraction form
    32,633.80/48,926.70 = 10,434.36/x
  3. Step 3: Cross multiply
    32,633.80x = 48,926.70 × 10,434.36
  4. Step 4: Simplify right side
    32,633.80x = 510,518,801.41
  5. Step 5: Solve for x
    x = 510,518,801.41/32,633.80
  6. Step 6: Final answer
    x = 15,643.87

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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.