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Finding the Fourth Proportional to 31,773.28, 47,628.93 and 15,128.84

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Solution

The fourth proportional to 31,773.28, 47,628.93 and 15,128.84 is: 22,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.28 : 47,628.93 = 15,128.84 : x
  2. Step 2: Convert to fraction form
    31,773.28/47,628.93 = 15,128.84/x
  3. Step 3: Cross multiply
    31,773.28x = 47,628.93 × 15,128.84
  4. Step 4: Simplify right side
    31,773.28x = 720,570,461.34
  5. Step 5: Solve for x
    x = 720,570,461.34/31,773.28
  6. Step 6: Final answer
    x = 22,678.50

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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.