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Finding the Fourth Proportional to 65,444.48, 90,284.64 and 44,216

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Solution

The fourth proportional to 65,444.48, 90,284.64 and 44,216 is: 60,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,444.48 : 90,284.64 = 44,216 : x
  2. Step 2: Convert to fraction form
    65,444.48/90,284.64 = 44,216/x
  3. Step 3: Cross multiply
    65,444.48x = 90,284.64 × 44,216
  4. Step 4: Simplify right side
    65,444.48x = 3,992,025,642.24
  5. Step 5: Solve for x
    x = 3,992,025,642.24/65,444.48
  6. Step 6: Final answer
    x = 60,998.66

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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.