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Finding the Fourth Proportional to 65,417.88, 90,269.22 and 36,733.74

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Solution

The fourth proportional to 65,417.88, 90,269.22 and 36,733.74 is: 50,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,417.88 : 90,269.22 = 36,733.74 : x
  2. Step 2: Convert to fraction form
    65,417.88/90,269.22 = 36,733.74/x
  3. Step 3: Cross multiply
    65,417.88x = 90,269.22 × 36,733.74
  4. Step 4: Simplify right side
    65,417.88x = 3,315,926,057.48
  5. Step 5: Solve for x
    x = 3,315,926,057.48/65,417.88
  6. Step 6: Final answer
    x = 50,688.38

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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.