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Finding the Fourth Proportional to 99,715.98, 149,530.14 and 37,342.74

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Solution

The fourth proportional to 99,715.98, 149,530.14 and 37,342.74 is: 55,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,715.98 : 149,530.14 = 37,342.74 : x
  2. Step 2: Convert to fraction form
    99,715.98/149,530.14 = 37,342.74/x
  3. Step 3: Cross multiply
    99,715.98x = 149,530.14 × 37,342.74
  4. Step 4: Simplify right side
    99,715.98x = 5,583,865,140.18
  5. Step 5: Solve for x
    x = 5,583,865,140.18/99,715.98
  6. Step 6: Final answer
    x = 55,997.70

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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.