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Finding the Fourth Proportional to 57,152.40, 78,852 and 37,024.80

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Solution

The fourth proportional to 57,152.40, 78,852 and 37,024.80 is: 51,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,152.40 : 78,852 = 37,024.80 : x
  2. Step 2: Convert to fraction form
    57,152.40/78,852 = 37,024.80/x
  3. Step 3: Cross multiply
    57,152.40x = 78,852 × 37,024.80
  4. Step 4: Simplify right side
    57,152.40x = 2,919,479,529.60
  5. Step 5: Solve for x
    x = 2,919,479,529.60/57,152.40
  6. Step 6: Final answer
    x = 51,082.36

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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.