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Finding the Fourth Proportional to 130,011.50, 195,017.28 and 31,515.50

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Solution

The fourth proportional to 130,011.50, 195,017.28 and 31,515.50 is: 47,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,011.50 : 195,017.28 = 31,515.50 : x
  2. Step 2: Convert to fraction form
    130,011.50/195,017.28 = 31,515.50/x
  3. Step 3: Cross multiply
    130,011.50x = 195,017.28 × 31,515.50
  4. Step 4: Simplify right side
    130,011.50x = 6,146,067,087.84
  5. Step 5: Solve for x
    x = 6,146,067,087.84/130,011.50
  6. Step 6: Final answer
    x = 47,273.26

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