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Finding the Fourth Proportional to 130,006.54, 195,017.10 and 36,505

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Solution

The fourth proportional to 130,006.54, 195,017.10 and 36,505 is: 54,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,006.54 : 195,017.10 = 36,505 : x
  2. Step 2: Convert to fraction form
    130,006.54/195,017.10 = 36,505/x
  3. Step 3: Cross multiply
    130,006.54x = 195,017.10 × 36,505
  4. Step 4: Simplify right side
    130,006.54x = 7,119,099,235.50
  5. Step 5: Solve for x
    x = 7,119,099,235.50/130,006.54
  6. Step 6: Final answer
    x = 54,759.55

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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.