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Finding the Fourth Proportional to 97,807.77, 146,719.49 and 31,257.36

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Solution

The fourth proportional to 97,807.77, 146,719.49 and 31,257.36 is: 46,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,807.77 : 146,719.49 = 31,257.36 : x
  2. Step 2: Convert to fraction form
    97,807.77/146,719.49 = 31,257.36/x
  3. Step 3: Cross multiply
    97,807.77x = 146,719.49 × 31,257.36
  4. Step 4: Simplify right side
    97,807.77x = 4,586,063,761.66
  5. Step 5: Solve for x
    x = 4,586,063,761.66/97,807.77
  6. Step 6: Final answer
    x = 46,888.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.