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Finding the Fourth Proportional to 57,429.81, 85,928.31 and 51,602.67

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Solution

The fourth proportional to 57,429.81, 85,928.31 and 51,602.67 is: 77,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429.81 : 85,928.31 = 51,602.67 : x
  2. Step 2: Convert to fraction form
    57,429.81/85,928.31 = 51,602.67/x
  3. Step 3: Cross multiply
    57,429.81x = 85,928.31 × 51,602.67
  4. Step 4: Simplify right side
    57,429.81x = 4,434,130,224.59
  5. Step 5: Solve for x
    x = 4,434,130,224.59/57,429.81
  6. Step 6: Final answer
    x = 77,209.56

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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.