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Finding the Fourth Proportional to 72,711.84, 100,398.78 and 56,768.34

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Solution

The fourth proportional to 72,711.84, 100,398.78 and 56,768.34 is: 78,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,711.84 : 100,398.78 = 56,768.34 : x
  2. Step 2: Convert to fraction form
    72,711.84/100,398.78 = 56,768.34/x
  3. Step 3: Cross multiply
    72,711.84x = 100,398.78 × 56,768.34
  4. Step 4: Simplify right side
    72,711.84x = 5,699,472,078.63
  5. Step 5: Solve for x
    x = 5,699,472,078.63/72,711.84
  6. Step 6: Final answer
    x = 78,384.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.