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Finding the Fourth Proportional to 56,092.31, 77,374.82 and 36,975.09

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Solution

The fourth proportional to 56,092.31, 77,374.82 and 36,975.09 is: 51,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,092.31 : 77,374.82 = 36,975.09 : x
  2. Step 2: Convert to fraction form
    56,092.31/77,374.82 = 36,975.09/x
  3. Step 3: Cross multiply
    56,092.31x = 77,374.82 × 36,975.09
  4. Step 4: Simplify right side
    56,092.31x = 2,860,941,315.83
  5. Step 5: Solve for x
    x = 2,860,941,315.83/56,092.31
  6. Step 6: Final answer
    x = 51,004.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.