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Finding the Fourth Proportional to 42,232.56, 57,970.46 and 37,345.40

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Solution

The fourth proportional to 42,232.56, 57,970.46 and 37,345.40 is: 51,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,232.56 : 57,970.46 = 37,345.40 : x
  2. Step 2: Convert to fraction form
    42,232.56/57,970.46 = 37,345.40/x
  3. Step 3: Cross multiply
    42,232.56x = 57,970.46 × 37,345.40
  4. Step 4: Simplify right side
    42,232.56x = 2,164,930,016.88
  5. Step 5: Solve for x
    x = 2,164,930,016.88/42,232.56
  6. Step 6: Final answer
    x = 51,262.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.