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Finding the Fourth Proportional to 51,541.99, 77,265.42 and 35,754.47

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Solution

The fourth proportional to 51,541.99, 77,265.42 and 35,754.47 is: 53,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,541.99 : 77,265.42 = 35,754.47 : x
  2. Step 2: Convert to fraction form
    51,541.99/77,265.42 = 35,754.47/x
  3. Step 3: Cross multiply
    51,541.99x = 77,265.42 × 35,754.47
  4. Step 4: Simplify right side
    51,541.99x = 2,762,583,962.66
  5. Step 5: Solve for x
    x = 2,762,583,962.66/51,541.99
  6. Step 6: Final answer
    x = 53,598.71

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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.