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Finding the Fourth Proportional to 72,128.84, 108,193.26 and 22,877

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Solution

The fourth proportional to 72,128.84, 108,193.26 and 22,877 is: 34,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,128.84 : 108,193.26 = 22,877 : x
  2. Step 2: Convert to fraction form
    72,128.84/108,193.26 = 22,877/x
  3. Step 3: Cross multiply
    72,128.84x = 108,193.26 × 22,877
  4. Step 4: Simplify right side
    72,128.84x = 2,475,137,209.02
  5. Step 5: Solve for x
    x = 2,475,137,209.02/72,128.84
  6. Step 6: Final answer
    x = 34,315.50

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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.