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Finding the Fourth Proportional to 65,259.50, 90,064.38 and 36,584.06

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Solution

The fourth proportional to 65,259.50, 90,064.38 and 36,584.06 is: 50,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,259.50 : 90,064.38 = 36,584.06 : x
  2. Step 2: Convert to fraction form
    65,259.50/90,064.38 = 36,584.06/x
  3. Step 3: Cross multiply
    65,259.50x = 90,064.38 × 36,584.06
  4. Step 4: Simplify right side
    65,259.50x = 3,294,920,681.78
  5. Step 5: Solve for x
    x = 3,294,920,681.78/65,259.50
  6. Step 6: Final answer
    x = 50,489.52

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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.