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Finding the Fourth Proportional to 48,765.96, 73,133.82 and 17,597.16

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Solution

The fourth proportional to 48,765.96, 73,133.82 and 17,597.16 is: 26,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,765.96 : 73,133.82 = 17,597.16 : x
  2. Step 2: Convert to fraction form
    48,765.96/73,133.82 = 17,597.16/x
  3. Step 3: Cross multiply
    48,765.96x = 73,133.82 × 17,597.16
  4. Step 4: Simplify right side
    48,765.96x = 1,286,947,531.95
  5. Step 5: Solve for x
    x = 1,286,947,531.95/48,765.96
  6. Step 6: Final answer
    x = 26,390.28

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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.