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Finding the Fourth Proportional to 98,382.60, 147,644.82 and 39,184.02

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Solution

The fourth proportional to 98,382.60, 147,644.82 and 39,184.02 is: 58,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.60 : 147,644.82 = 39,184.02 : x
  2. Step 2: Convert to fraction form
    98,382.60/147,644.82 = 39,184.02/x
  3. Step 3: Cross multiply
    98,382.60x = 147,644.82 × 39,184.02
  4. Step 4: Simplify right side
    98,382.60x = 5,785,317,579.78
  5. Step 5: Solve for x
    x = 5,785,317,579.78/98,382.60
  6. Step 6: Final answer
    x = 58,804.28

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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.