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Finding the Fourth Proportional to 71,795.49, 107,698.43 and 21,875.46

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Solution

The fourth proportional to 71,795.49, 107,698.43 and 21,875.46 is: 32,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,795.49 : 107,698.43 = 21,875.46 : x
  2. Step 2: Convert to fraction form
    71,795.49/107,698.43 = 21,875.46/x
  3. Step 3: Cross multiply
    71,795.49x = 107,698.43 × 21,875.46
  4. Step 4: Simplify right side
    71,795.49x = 2,355,952,697.53
  5. Step 5: Solve for x
    x = 2,355,952,697.53/71,795.49
  6. Step 6: Final answer
    x = 32,814.77

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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.