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Finding the Fourth Proportional to 101,032.64, 151,551.84 and 30,910.40

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Solution

The fourth proportional to 101,032.64, 151,551.84 and 30,910.40 is: 46,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,032.64 : 151,551.84 = 30,910.40 : x
  2. Step 2: Convert to fraction form
    101,032.64/151,551.84 = 30,910.40/x
  3. Step 3: Cross multiply
    101,032.64x = 151,551.84 × 30,910.40
  4. Step 4: Simplify right side
    101,032.64x = 4,684,527,995.14
  5. Step 5: Solve for x
    x = 4,684,527,995.14/101,032.64
  6. Step 6: Final answer
    x = 46,366.48

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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.