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Finding the Fourth Proportional to 60,494.56, 90,760.30 and 30,933.16

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Solution

The fourth proportional to 60,494.56, 90,760.30 and 30,933.16 is: 46,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,494.56 : 90,760.30 = 30,933.16 : x
  2. Step 2: Convert to fraction form
    60,494.56/90,760.30 = 30,933.16/x
  3. Step 3: Cross multiply
    60,494.56x = 90,760.30 × 30,933.16
  4. Step 4: Simplify right side
    60,494.56x = 2,807,502,577.31
  5. Step 5: Solve for x
    x = 2,807,502,577.31/60,494.56
  6. Step 6: Final answer
    x = 46,409.18

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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.