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Finding the Fourth Proportional to 74,162.37, 102,362.38 and 42,349.72

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Solution

The fourth proportional to 74,162.37, 102,362.38 and 42,349.72 is: 58,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,162.37 : 102,362.38 = 42,349.72 : x
  2. Step 2: Convert to fraction form
    74,162.37/102,362.38 = 42,349.72/x
  3. Step 3: Cross multiply
    74,162.37x = 102,362.38 × 42,349.72
  4. Step 4: Simplify right side
    74,162.37x = 4,335,018,131.53
  5. Step 5: Solve for x
    x = 4,335,018,131.53/74,162.37
  6. Step 6: Final answer
    x = 58,453.07

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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.