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Finding the Fourth Proportional to 49,292.50, 73,938.84 and 12,356.50

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Solution

The fourth proportional to 49,292.50, 73,938.84 and 12,356.50 is: 18,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,292.50 : 73,938.84 = 12,356.50 : x
  2. Step 2: Convert to fraction form
    49,292.50/73,938.84 = 12,356.50/x
  3. Step 3: Cross multiply
    49,292.50x = 73,938.84 × 12,356.50
  4. Step 4: Simplify right side
    49,292.50x = 913,625,276.46
  5. Step 5: Solve for x
    x = 913,625,276.46/49,292.50
  6. Step 6: Final answer
    x = 18,534.77

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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.