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Finding the Fourth Proportional to 31,237.01, 46,855.47 and 10,177.01

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Solution

The fourth proportional to 31,237.01, 46,855.47 and 10,177.01 is: 15,265.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,237.01 : 46,855.47 = 10,177.01 : x
  2. Step 2: Convert to fraction form
    31,237.01/46,855.47 = 10,177.01/x
  3. Step 3: Cross multiply
    31,237.01x = 46,855.47 × 10,177.01
  4. Step 4: Simplify right side
    31,237.01x = 476,848,586.74
  5. Step 5: Solve for x
    x = 476,848,586.74/31,237.01
  6. Step 6: Final answer
    x = 15,265.50

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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.