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Finding the Fourth Proportional to 69,843.66, 96,384.33 and 38,012.52

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Solution

The fourth proportional to 69,843.66, 96,384.33 and 38,012.52 is: 52,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,843.66 : 96,384.33 = 38,012.52 : x
  2. Step 2: Convert to fraction form
    69,843.66/96,384.33 = 38,012.52/x
  3. Step 3: Cross multiply
    69,843.66x = 96,384.33 × 38,012.52
  4. Step 4: Simplify right side
    69,843.66x = 3,663,811,271.81
  5. Step 5: Solve for x
    x = 3,663,811,271.81/69,843.66
  6. Step 6: Final answer
    x = 52,457.32

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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.