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Finding the Fourth Proportional to 69,784.90, 96,303.92 and 37,953.84

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Solution

The fourth proportional to 69,784.90, 96,303.92 and 37,953.84 is: 52,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,784.90 : 96,303.92 = 37,953.84 : x
  2. Step 2: Convert to fraction form
    69,784.90/96,303.92 = 37,953.84/x
  3. Step 3: Cross multiply
    69,784.90x = 96,303.92 × 37,953.84
  4. Step 4: Simplify right side
    69,784.90x = 3,655,103,571.05
  5. Step 5: Solve for x
    x = 3,655,103,571.05/69,784.90
  6. Step 6: Final answer
    x = 52,376.71

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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.