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Finding the Fourth Proportional to 56,502.36, 77,973.87 and 31,007.97

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Solution

The fourth proportional to 56,502.36, 77,973.87 and 31,007.97 is: 42,791.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502.36 : 77,973.87 = 31,007.97 : x
  2. Step 2: Convert to fraction form
    56,502.36/77,973.87 = 31,007.97/x
  3. Step 3: Cross multiply
    56,502.36x = 77,973.87 × 31,007.97
  4. Step 4: Simplify right side
    56,502.36x = 2,417,811,421.74
  5. Step 5: Solve for x
    x = 2,417,811,421.74/56,502.36
  6. Step 6: Final answer
    x = 42,791.34

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