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Finding the Fourth Proportional to 83,533.68, 125,266.50 and 39,174.84

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Solution

The fourth proportional to 83,533.68, 125,266.50 and 39,174.84 is: 58,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,533.68 : 125,266.50 = 39,174.84 : x
  2. Step 2: Convert to fraction form
    83,533.68/125,266.50 = 39,174.84/x
  3. Step 3: Cross multiply
    83,533.68x = 125,266.50 × 39,174.84
  4. Step 4: Simplify right side
    83,533.68x = 4,907,295,094.86
  5. Step 5: Solve for x
    x = 4,907,295,094.86/83,533.68
  6. Step 6: Final answer
    x = 58,746.31

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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.