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Finding the Fourth Proportional to 73,597.95, 110,396.18 and 31,442.18

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Solution

The fourth proportional to 73,597.95, 110,396.18 and 31,442.18 is: 47,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,597.95 : 110,396.18 = 31,442.18 : x
  2. Step 2: Convert to fraction form
    73,597.95/110,396.18 = 31,442.18/x
  3. Step 3: Cross multiply
    73,597.95x = 110,396.18 × 31,442.18
  4. Step 4: Simplify right side
    73,597.95x = 3,471,096,089.50
  5. Step 5: Solve for x
    x = 3,471,096,089.50/73,597.95
  6. Step 6: Final answer
    x = 47,162.95

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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.