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Finding the Fourth Proportional to 48,597.84, 72,770.34 and 45,642.60

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Solution

The fourth proportional to 48,597.84, 72,770.34 and 45,642.60 is: 68,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,597.84 : 72,770.34 = 45,642.60 : x
  2. Step 2: Convert to fraction form
    48,597.84/72,770.34 = 45,642.60/x
  3. Step 3: Cross multiply
    48,597.84x = 72,770.34 × 45,642.60
  4. Step 4: Simplify right side
    48,597.84x = 3,321,427,520.48
  5. Step 5: Solve for x
    x = 3,321,427,520.48/48,597.84
  6. Step 6: Final answer
    x = 68,345.17

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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.