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Finding the Fourth Proportional to 67,088.16, 100,582.56 and 33,783.84

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Solution

The fourth proportional to 67,088.16, 100,582.56 and 33,783.84 is: 50,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,088.16 : 100,582.56 = 33,783.84 : x
  2. Step 2: Convert to fraction form
    67,088.16/100,582.56 = 33,783.84/x
  3. Step 3: Cross multiply
    67,088.16x = 100,582.56 × 33,783.84
  4. Step 4: Simplify right side
    67,088.16x = 3,398,065,113.83
  5. Step 5: Solve for x
    x = 3,398,065,113.83/67,088.16
  6. Step 6: Final answer
    x = 50,650.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.