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Finding the Fourth Proportional to 57,006.84, 78,667.82 and 31,856.34

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Solution

The fourth proportional to 57,006.84, 78,667.82 and 31,856.34 is: 43,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,006.84 : 78,667.82 = 31,856.34 : x
  2. Step 2: Convert to fraction form
    57,006.84/78,667.82 = 31,856.34/x
  3. Step 3: Cross multiply
    57,006.84x = 78,667.82 × 31,856.34
  4. Step 4: Simplify right side
    57,006.84x = 2,506,068,820.98
  5. Step 5: Solve for x
    x = 2,506,068,820.98/57,006.84
  6. Step 6: Final answer
    x = 43,960.84

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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.