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Finding the Fourth Proportional to 69,803.65, 96,328.95 and 37,972.47

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Solution

The fourth proportional to 69,803.65, 96,328.95 and 37,972.47 is: 52,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,803.65 : 96,328.95 = 37,972.47 : x
  2. Step 2: Convert to fraction form
    69,803.65/96,328.95 = 37,972.47/x
  3. Step 3: Cross multiply
    69,803.65x = 96,328.95 × 37,972.47
  4. Step 4: Simplify right side
    69,803.65x = 3,657,848,164.01
  5. Step 5: Solve for x
    x = 3,657,848,164.01/69,803.65
  6. Step 6: Final answer
    x = 52,401.96

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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.