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Finding the Fourth Proportional to 75,972.94, 104,842.65 and 42,438.94

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Solution

The fourth proportional to 75,972.94, 104,842.65 and 42,438.94 is: 58,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,972.94 : 104,842.65 = 42,438.94 : x
  2. Step 2: Convert to fraction form
    75,972.94/104,842.65 = 42,438.94/x
  3. Step 3: Cross multiply
    75,972.94x = 104,842.65 × 42,438.94
  4. Step 4: Simplify right side
    75,972.94x = 4,449,410,829.83
  5. Step 5: Solve for x
    x = 4,449,410,829.83/75,972.94
  6. Step 6: Final answer
    x = 58,565.73

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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.