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Finding the Fourth Proportional to 67,254.72, 100,875.84 and 31,707.84

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Solution

The fourth proportional to 67,254.72, 100,875.84 and 31,707.84 is: 47,558.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,254.72 : 100,875.84 = 31,707.84 : x
  2. Step 2: Convert to fraction form
    67,254.72/100,875.84 = 31,707.84/x
  3. Step 3: Cross multiply
    67,254.72x = 100,875.84 × 31,707.84
  4. Step 4: Simplify right side
    67,254.72x = 3,198,554,994.59
  5. Step 5: Solve for x
    x = 3,198,554,994.59/67,254.72
  6. Step 6: Final answer
    x = 47,558.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.