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Finding the Fourth Proportional to 32,426, 44,747.88 and 17,522

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Solution

The fourth proportional to 32,426, 44,747.88 and 17,522 is: 24,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426 : 44,747.88 = 17,522 : x
  2. Step 2: Convert to fraction form
    32,426/44,747.88 = 17,522/x
  3. Step 3: Cross multiply
    32,426x = 44,747.88 × 17,522
  4. Step 4: Simplify right side
    32,426x = 784,072,353.36
  5. Step 5: Solve for x
    x = 784,072,353.36/32,426
  6. Step 6: Final answer
    x = 24,180.36

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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.