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Finding the Fourth Proportional to 53,012.81, 79,499.02 and 23,414.50

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Solution

The fourth proportional to 53,012.81, 79,499.02 and 23,414.50 is: 35,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,012.81 : 79,499.02 = 23,414.50 : x
  2. Step 2: Convert to fraction form
    53,012.81/79,499.02 = 23,414.50/x
  3. Step 3: Cross multiply
    53,012.81x = 79,499.02 × 23,414.50
  4. Step 4: Simplify right side
    53,012.81x = 1,861,429,888.53
  5. Step 5: Solve for x
    x = 1,861,429,888.53/53,012.81
  6. Step 6: Final answer
    x = 35,112.83

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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.