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Finding the Fourth Proportional to 73,870.75, 101,941.68 and 40,336.75

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Solution

The fourth proportional to 73,870.75, 101,941.68 and 40,336.75 is: 55,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,870.75 : 101,941.68 = 40,336.75 : x
  2. Step 2: Convert to fraction form
    73,870.75/101,941.68 = 40,336.75/x
  3. Step 3: Cross multiply
    73,870.75x = 101,941.68 × 40,336.75
  4. Step 4: Simplify right side
    73,870.75x = 4,111,996,060.74
  5. Step 5: Solve for x
    x = 4,111,996,060.74/73,870.75
  6. Step 6: Final answer
    x = 55,664.74

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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.