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Finding the Fourth Proportional to 32,434.50, 44,759.64 and 17,530.50

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Solution

The fourth proportional to 32,434.50, 44,759.64 and 17,530.50 is: 24,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.50 : 44,759.64 = 17,530.50 : x
  2. Step 2: Convert to fraction form
    32,434.50/44,759.64 = 17,530.50/x
  3. Step 3: Cross multiply
    32,434.50x = 44,759.64 × 17,530.50
  4. Step 4: Simplify right side
    32,434.50x = 784,658,869.02
  5. Step 5: Solve for x
    x = 784,658,869.02/32,434.50
  6. Step 6: Final answer
    x = 24,192.11

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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.