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Finding the Fourth Proportional to 49,135, 73,702.52 and 12,199

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Solution

The fourth proportional to 49,135, 73,702.52 and 12,199 is: 18,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,135 : 73,702.52 = 12,199 : x
  2. Step 2: Convert to fraction form
    49,135/73,702.52 = 12,199/x
  3. Step 3: Cross multiply
    49,135x = 73,702.52 × 12,199
  4. Step 4: Simplify right side
    49,135x = 899,097,041.48
  5. Step 5: Solve for x
    x = 899,097,041.48/49,135
  6. Step 6: Final answer
    x = 18,298.50

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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.