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Finding the Fourth Proportional to 32,993, 45,530.52 and 19,571

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Solution

The fourth proportional to 32,993, 45,530.52 and 19,571 is: 27,008.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,993 : 45,530.52 = 19,571 : x
  2. Step 2: Convert to fraction form
    32,993/45,530.52 = 19,571/x
  3. Step 3: Cross multiply
    32,993x = 45,530.52 × 19,571
  4. Step 4: Simplify right side
    32,993x = 891,077,806.92
  5. Step 5: Solve for x
    x = 891,077,806.92/32,993
  6. Step 6: Final answer
    x = 27,008.09

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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.