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Finding the Fourth Proportional to 49,123.68, 73,663.50 and 17,937

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Solution

The fourth proportional to 49,123.68, 73,663.50 and 17,937 is: 26,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123.68 : 73,663.50 = 17,937 : x
  2. Step 2: Convert to fraction form
    49,123.68/73,663.50 = 17,937/x
  3. Step 3: Cross multiply
    49,123.68x = 73,663.50 × 17,937
  4. Step 4: Simplify right side
    49,123.68x = 1,321,302,199.50
  5. Step 5: Solve for x
    x = 1,321,302,199.50/49,123.68
  6. Step 6: Final answer
    x = 26,897.46

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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.