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Finding the Fourth Proportional to 57,648, 79,554.24 and 31,152

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Solution

The fourth proportional to 57,648, 79,554.24 and 31,152 is: 42,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,648 : 79,554.24 = 31,152 : x
  2. Step 2: Convert to fraction form
    57,648/79,554.24 = 31,152/x
  3. Step 3: Cross multiply
    57,648x = 79,554.24 × 31,152
  4. Step 4: Simplify right side
    57,648x = 2,478,273,684.48
  5. Step 5: Solve for x
    x = 2,478,273,684.48/57,648
  6. Step 6: Final answer
    x = 42,989.76

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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.