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Finding the Fourth Proportional to 56,508.96, 77,983.84 and 31,015.52

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Solution

The fourth proportional to 56,508.96, 77,983.84 and 31,015.52 is: 42,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,508.96 : 77,983.84 = 31,015.52 : x
  2. Step 2: Convert to fraction form
    56,508.96/77,983.84 = 31,015.52/x
  3. Step 3: Cross multiply
    56,508.96x = 77,983.84 × 31,015.52
  4. Step 4: Simplify right side
    56,508.96x = 2,418,709,349.20
  5. Step 5: Solve for x
    x = 2,418,709,349.20/56,508.96
  6. Step 6: Final answer
    x = 42,802.23

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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.