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Finding the Fourth Proportional to 106,464, 159,696.24 and 32,592

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Solution

The fourth proportional to 106,464, 159,696.24 and 32,592 is: 48,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464 : 159,696.24 = 32,592 : x
  2. Step 2: Convert to fraction form
    106,464/159,696.24 = 32,592/x
  3. Step 3: Cross multiply
    106,464x = 159,696.24 × 32,592
  4. Step 4: Simplify right side
    106,464x = 5,204,819,854.08
  5. Step 5: Solve for x
    x = 5,204,819,854.08/106,464
  6. Step 6: Final answer
    x = 48,888.07

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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.