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Finding the Fourth Proportional to 69,637.60, 96,127.32 and 46,990

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Solution

The fourth proportional to 69,637.60, 96,127.32 and 46,990 is: 64,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,637.60 : 96,127.32 = 46,990 : x
  2. Step 2: Convert to fraction form
    69,637.60/96,127.32 = 46,990/x
  3. Step 3: Cross multiply
    69,637.60x = 96,127.32 × 46,990
  4. Step 4: Simplify right side
    69,637.60x = 4,517,022,766.80
  5. Step 5: Solve for x
    x = 4,517,022,766.80/69,637.60
  6. Step 6: Final answer
    x = 64,864.71

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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.