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Finding the Fourth Proportional to 77,476.48, 116,201.95 and 72,433.01

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Solution

The fourth proportional to 77,476.48, 116,201.95 and 72,433.01 is: 108,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,476.48 : 116,201.95 = 72,433.01 : x
  2. Step 2: Convert to fraction form
    77,476.48/116,201.95 = 72,433.01/x
  3. Step 3: Cross multiply
    77,476.48x = 116,201.95 × 72,433.01
  4. Step 4: Simplify right side
    77,476.48x = 8,416,857,006.37
  5. Step 5: Solve for x
    x = 8,416,857,006.37/77,476.48
  6. Step 6: Final answer
    x = 108,637.58

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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.