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Finding the Fourth Proportional to 76,955.92, 106,198.44 and 42,962.23

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Solution

The fourth proportional to 76,955.92, 106,198.44 and 42,962.23 is: 59,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,955.92 : 106,198.44 = 42,962.23 : x
  2. Step 2: Convert to fraction form
    76,955.92/106,198.44 = 42,962.23/x
  3. Step 3: Cross multiply
    76,955.92x = 106,198.44 × 42,962.23
  4. Step 4: Simplify right side
    76,955.92x = 4,562,521,804.92
  5. Step 5: Solve for x
    x = 4,562,521,804.92/76,955.92
  6. Step 6: Final answer
    x = 59,287.47

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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.