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Finding the Fourth Proportional to 70,006.48, 96,606.84 and 38,176

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Solution

The fourth proportional to 70,006.48, 96,606.84 and 38,176 is: 52,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,006.48 : 96,606.84 = 38,176 : x
  2. Step 2: Convert to fraction form
    70,006.48/96,606.84 = 38,176/x
  3. Step 3: Cross multiply
    70,006.48x = 96,606.84 × 38,176
  4. Step 4: Simplify right side
    70,006.48x = 3,688,062,723.84
  5. Step 5: Solve for x
    x = 3,688,062,723.84/70,006.48
  6. Step 6: Final answer
    x = 52,681.73

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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.