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Finding the Fourth Proportional to 56,365.90, 77,784.91 and 31,215.38

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Solution

The fourth proportional to 56,365.90, 77,784.91 and 31,215.38 is: 43,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,365.90 : 77,784.91 = 31,215.38 : x
  2. Step 2: Convert to fraction form
    56,365.90/77,784.91 = 31,215.38/x
  3. Step 3: Cross multiply
    56,365.90x = 77,784.91 × 31,215.38
  4. Step 4: Simplify right side
    56,365.90x = 2,428,085,523.92
  5. Step 5: Solve for x
    x = 2,428,085,523.92/56,365.90
  6. Step 6: Final answer
    x = 43,077.21

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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.