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Finding the Fourth Proportional to 76,232.50, 105,200.85 and 42,698.50

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Solution

The fourth proportional to 76,232.50, 105,200.85 and 42,698.50 is: 58,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232.50 : 105,200.85 = 42,698.50 : x
  2. Step 2: Convert to fraction form
    76,232.50/105,200.85 = 42,698.50/x
  3. Step 3: Cross multiply
    76,232.50x = 105,200.85 × 42,698.50
  4. Step 4: Simplify right side
    76,232.50x = 4,491,918,493.73
  5. Step 5: Solve for x
    x = 4,491,918,493.73/76,232.50
  6. Step 6: Final answer
    x = 58,923.93

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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.