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Finding the Fourth Proportional to 42,856.80, 59,138.01 and 24,709.56

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Solution

The fourth proportional to 42,856.80, 59,138.01 and 24,709.56 is: 34,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,856.80 : 59,138.01 = 24,709.56 : x
  2. Step 2: Convert to fraction form
    42,856.80/59,138.01 = 24,709.56/x
  3. Step 3: Cross multiply
    42,856.80x = 59,138.01 × 24,709.56
  4. Step 4: Simplify right side
    42,856.80x = 1,461,274,206.38
  5. Step 5: Solve for x
    x = 1,461,274,206.38/42,856.80
  6. Step 6: Final answer
    x = 34,096.67

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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.