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Finding the Fourth Proportional to 107,570, 161,363.52 and 32,696.64

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Solution

The fourth proportional to 107,570, 161,363.52 and 32,696.64 is: 49,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,570 : 161,363.52 = 32,696.64 : x
  2. Step 2: Convert to fraction form
    107,570/161,363.52 = 32,696.64/x
  3. Step 3: Cross multiply
    107,570x = 161,363.52 × 32,696.64
  4. Step 4: Simplify right side
    107,570x = 5,276,044,922.57
  5. Step 5: Solve for x
    x = 5,276,044,922.57/107,570
  6. Step 6: Final answer
    x = 49,047.55

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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.