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Finding the Fourth Proportional to 101,833.40, 152,750.08 and 31,718.18

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Solution

The fourth proportional to 101,833.40, 152,750.08 and 31,718.18 is: 47,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,833.40 : 152,750.08 = 31,718.18 : x
  2. Step 2: Convert to fraction form
    101,833.40/152,750.08 = 31,718.18/x
  3. Step 3: Cross multiply
    101,833.40x = 152,750.08 × 31,718.18
  4. Step 4: Simplify right side
    101,833.40x = 4,844,954,532.45
  5. Step 5: Solve for x
    x = 4,844,954,532.45/101,833.40
  6. Step 6: Final answer
    x = 47,577.26

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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.