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Finding the Fourth Proportional to 53,851.91, 80,807.03 and 51,888.47

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Solution

The fourth proportional to 53,851.91, 80,807.03 and 51,888.47 is: 77,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,851.91 : 80,807.03 = 51,888.47 : x
  2. Step 2: Convert to fraction form
    53,851.91/80,807.03 = 51,888.47/x
  3. Step 3: Cross multiply
    53,851.91x = 80,807.03 × 51,888.47
  4. Step 4: Simplify right side
    53,851.91x = 4,192,953,151.94
  5. Step 5: Solve for x
    x = 4,192,953,151.94/53,851.91
  6. Step 6: Final answer
    x = 77,860.81

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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.