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Finding the Fourth Proportional to 130,006.50, 195,009.75 and 31,510.50

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Solution

The fourth proportional to 130,006.50, 195,009.75 and 31,510.50 is: 47,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,006.50 : 195,009.75 = 31,510.50 : x
  2. Step 2: Convert to fraction form
    130,006.50/195,009.75 = 31,510.50/x
  3. Step 3: Cross multiply
    130,006.50x = 195,009.75 × 31,510.50
  4. Step 4: Simplify right side
    130,006.50x = 6,144,854,727.38
  5. Step 5: Solve for x
    x = 6,144,854,727.38/130,006.50
  6. Step 6: Final answer
    x = 47,265.75

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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.