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Finding the Fourth Proportional to 130,582.58, 195,878.50 and 41,824.54

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Solution

The fourth proportional to 130,582.58, 195,878.50 and 41,824.54 is: 62,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,582.58 : 195,878.50 = 41,824.54 : x
  2. Step 2: Convert to fraction form
    130,582.58/195,878.50 = 41,824.54/x
  3. Step 3: Cross multiply
    130,582.58x = 195,878.50 × 41,824.54
  4. Step 4: Simplify right side
    130,582.58x = 8,192,528,158.39
  5. Step 5: Solve for x
    x = 8,192,528,158.39/130,582.58
  6. Step 6: Final answer
    x = 62,738.29

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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.