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Finding the Fourth Proportional to 76,951.91, 106,192.94 and 42,958.23

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Solution

The fourth proportional to 76,951.91, 106,192.94 and 42,958.23 is: 59,281.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.91 : 106,192.94 = 42,958.23 : x
  2. Step 2: Convert to fraction form
    76,951.91/106,192.94 = 42,958.23/x
  3. Step 3: Cross multiply
    76,951.91x = 106,192.94 × 42,958.23
  4. Step 4: Simplify right side
    76,951.91x = 4,561,860,526.11
  5. Step 5: Solve for x
    x = 4,561,860,526.11/76,951.91
  6. Step 6: Final answer
    x = 59,281.97

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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.