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Finding the Fourth Proportional to 99,715.95, 149,530.14 and 37,342.71

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Solution

The fourth proportional to 99,715.95, 149,530.14 and 37,342.71 is: 55,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,715.95 : 149,530.14 = 37,342.71 : x
  2. Step 2: Convert to fraction form
    99,715.95/149,530.14 = 37,342.71/x
  3. Step 3: Cross multiply
    99,715.95x = 149,530.14 × 37,342.71
  4. Step 4: Simplify right side
    99,715.95x = 5,583,860,654.28
  5. Step 5: Solve for x
    x = 5,583,860,654.28/99,715.95
  6. Step 6: Final answer
    x = 55,997.67

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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.