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Finding the Fourth Proportional to 48,495.90, 72,743.84 and 13,435.54

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Solution

The fourth proportional to 48,495.90, 72,743.84 and 13,435.54 is: 20,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,495.90 : 72,743.84 = 13,435.54 : x
  2. Step 2: Convert to fraction form
    48,495.90/72,743.84 = 13,435.54/x
  3. Step 3: Cross multiply
    48,495.90x = 72,743.84 × 13,435.54
  4. Step 4: Simplify right side
    48,495.90x = 977,352,772.07
  5. Step 5: Solve for x
    x = 977,352,772.07/48,495.90
  6. Step 6: Final answer
    x = 20,153.31

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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.