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Finding the Fourth Proportional to 48,109.50, 72,164.07 and 13,049.10

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Solution

The fourth proportional to 48,109.50, 72,164.07 and 13,049.10 is: 19,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,109.50 : 72,164.07 = 13,049.10 : x
  2. Step 2: Convert to fraction form
    48,109.50/72,164.07 = 13,049.10/x
  3. Step 3: Cross multiply
    48,109.50x = 72,164.07 × 13,049.10
  4. Step 4: Simplify right side
    48,109.50x = 941,676,165.84
  5. Step 5: Solve for x
    x = 941,676,165.84/48,109.50
  6. Step 6: Final answer
    x = 19,573.60

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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.