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Finding the Fourth Proportional to 69,642.74, 96,106.44 and 37,811

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Solution

The fourth proportional to 69,642.74, 96,106.44 and 37,811 is: 52,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,642.74 : 96,106.44 = 37,811 : x
  2. Step 2: Convert to fraction form
    69,642.74/96,106.44 = 37,811/x
  3. Step 3: Cross multiply
    69,642.74x = 96,106.44 × 37,811
  4. Step 4: Simplify right side
    69,642.74x = 3,633,880,602.84
  5. Step 5: Solve for x
    x = 3,633,880,602.84/69,642.74
  6. Step 6: Final answer
    x = 52,178.89

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1.5x scale

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.