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Finding the Fourth Proportional to 76,393.20, 105,417.41 and 42,400.47

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Solution

The fourth proportional to 76,393.20, 105,417.41 and 42,400.47 is: 58,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,393.20 : 105,417.41 = 42,400.47 : x
  2. Step 2: Convert to fraction form
    76,393.20/105,417.41 = 42,400.47/x
  3. Step 3: Cross multiply
    76,393.20x = 105,417.41 × 42,400.47
  4. Step 4: Simplify right side
    76,393.20x = 4,469,747,518.18
  5. Step 5: Solve for x
    x = 4,469,747,518.18/76,393.20
  6. Step 6: Final answer
    x = 58,509.76

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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.