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Finding the Fourth Proportional to 57,052.32, 78,684.40 and 42,745.76

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Solution

The fourth proportional to 57,052.32, 78,684.40 and 42,745.76 is: 58,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,052.32 : 78,684.40 = 42,745.76 : x
  2. Step 2: Convert to fraction form
    57,052.32/78,684.40 = 42,745.76/x
  3. Step 3: Cross multiply
    57,052.32x = 78,684.40 × 42,745.76
  4. Step 4: Simplify right side
    57,052.32x = 3,363,424,478.14
  5. Step 5: Solve for x
    x = 3,363,424,478.14/57,052.32
  6. Step 6: Final answer
    x = 58,953.33

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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.