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Finding the Fourth Proportional to 101,953.94, 152,709.17 and 49,252.50

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Solution

The fourth proportional to 101,953.94, 152,709.17 and 49,252.50 is: 73,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,953.94 : 152,709.17 = 49,252.50 : x
  2. Step 2: Convert to fraction form
    101,953.94/152,709.17 = 49,252.50/x
  3. Step 3: Cross multiply
    101,953.94x = 152,709.17 × 49,252.50
  4. Step 4: Simplify right side
    101,953.94x = 7,521,308,149.16
  5. Step 5: Solve for x
    x = 7,521,308,149.16/101,953.94
  6. Step 6: Final answer
    x = 73,771.63

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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.