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Finding the Fourth Proportional to 56,497.62, 77,964.06 and 31,003.38

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Solution

The fourth proportional to 56,497.62, 77,964.06 and 31,003.38 is: 42,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,497.62 : 77,964.06 = 31,003.38 : x
  2. Step 2: Convert to fraction form
    56,497.62/77,964.06 = 31,003.38/x
  3. Step 3: Cross multiply
    56,497.62x = 77,964.06 × 31,003.38
  4. Step 4: Simplify right side
    56,497.62x = 2,417,149,378.52
  5. Step 5: Solve for x
    x = 2,417,149,378.52/56,497.62
  6. Step 6: Final answer
    x = 42,783.21

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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.