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Finding the Fourth Proportional to 60,437.84, 83,405.16 and 33,582.86

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Solution

The fourth proportional to 60,437.84, 83,405.16 and 33,582.86 is: 46,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,437.84 : 83,405.16 = 33,582.86 : x
  2. Step 2: Convert to fraction form
    60,437.84/83,405.16 = 33,582.86/x
  3. Step 3: Cross multiply
    60,437.84x = 83,405.16 × 33,582.86
  4. Step 4: Simplify right side
    60,437.84x = 2,800,983,811.56
  5. Step 5: Solve for x
    x = 2,800,983,811.56/60,437.84
  6. Step 6: Final answer
    x = 46,344.87

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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.