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Finding the Fourth Proportional to 65,952, 98,943.36 and 22,176

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Solution

The fourth proportional to 65,952, 98,943.36 and 22,176 is: 33,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952 : 98,943.36 = 22,176 : x
  2. Step 2: Convert to fraction form
    65,952/98,943.36 = 22,176/x
  3. Step 3: Cross multiply
    65,952x = 98,943.36 × 22,176
  4. Step 4: Simplify right side
    65,952x = 2,194,167,951.36
  5. Step 5: Solve for x
    x = 2,194,167,951.36/65,952
  6. Step 6: Final answer
    x = 33,269.16

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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.