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Finding the Fourth Proportional to 56,441.96, 77,893.41 and 31,291.46

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Solution

The fourth proportional to 56,441.96, 77,893.41 and 31,291.46 is: 43,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,441.96 : 77,893.41 = 31,291.46 : x
  2. Step 2: Convert to fraction form
    56,441.96/77,893.41 = 31,291.46/x
  3. Step 3: Cross multiply
    56,441.96x = 77,893.41 × 31,291.46
  4. Step 4: Simplify right side
    56,441.96x = 2,437,398,133.81
  5. Step 5: Solve for x
    x = 2,437,398,133.81/56,441.96
  6. Step 6: Final answer
    x = 43,184.16

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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.