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Finding the Fourth Proportional to 107,243.58, 160,878.78 and 32,363.60

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Solution

The fourth proportional to 107,243.58, 160,878.78 and 32,363.60 is: 48,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,243.58 : 160,878.78 = 32,363.60 : x
  2. Step 2: Convert to fraction form
    107,243.58/160,878.78 = 32,363.60/x
  3. Step 3: Cross multiply
    107,243.58x = 160,878.78 × 32,363.60
  4. Step 4: Simplify right side
    107,243.58x = 5,206,616,886.60
  5. Step 5: Solve for x
    x = 5,206,616,886.60/107,243.58
  6. Step 6: Final answer
    x = 48,549.45

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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.