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Finding the Fourth Proportional to 65,511.65, 90,406.38 and 37,218.89

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Solution

The fourth proportional to 65,511.65, 90,406.38 and 37,218.89 is: 51,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,511.65 : 90,406.38 = 37,218.89 : x
  2. Step 2: Convert to fraction form
    65,511.65/90,406.38 = 37,218.89/x
  3. Step 3: Cross multiply
    65,511.65x = 90,406.38 × 37,218.89
  4. Step 4: Simplify right side
    65,511.65x = 3,364,824,474.39
  5. Step 5: Solve for x
    x = 3,364,824,474.39/65,511.65
  6. Step 6: Final answer
    x = 51,362.23

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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.