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Finding the Fourth Proportional to 76,205.41, 113,844.61 and 49,332.47

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Solution

The fourth proportional to 76,205.41, 113,844.61 and 49,332.47 is: 73,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.41 : 113,844.61 = 49,332.47 : x
  2. Step 2: Convert to fraction form
    76,205.41/113,844.61 = 49,332.47/x
  3. Step 3: Cross multiply
    76,205.41x = 113,844.61 × 49,332.47
  4. Step 4: Simplify right side
    76,205.41x = 5,616,235,807.49
  5. Step 5: Solve for x
    x = 5,616,235,807.49/76,205.41
  6. Step 6: Final answer
    x = 73,698.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.