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Finding the Fourth Proportional to 51,885.99, 77,829.02 and 40,057.04

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Solution

The fourth proportional to 51,885.99, 77,829.02 and 40,057.04 is: 60,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,885.99 : 77,829.02 = 40,057.04 : x
  2. Step 2: Convert to fraction form
    51,885.99/77,829.02 = 40,057.04/x
  3. Step 3: Cross multiply
    51,885.99x = 77,829.02 × 40,057.04
  4. Step 4: Simplify right side
    51,885.99x = 3,117,599,577.87
  5. Step 5: Solve for x
    x = 3,117,599,577.87/51,885.99
  6. Step 6: Final answer
    x = 60,085.58

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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.