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Finding the Fourth Proportional to 56,357.40, 77,773.16 and 31,206.90

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Solution

The fourth proportional to 56,357.40, 77,773.16 and 31,206.90 is: 43,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,357.40 : 77,773.16 = 31,206.90 : x
  2. Step 2: Convert to fraction form
    56,357.40/77,773.16 = 31,206.90/x
  3. Step 3: Cross multiply
    56,357.40x = 77,773.16 × 31,206.90
  4. Step 4: Simplify right side
    56,357.40x = 2,427,059,226.80
  5. Step 5: Solve for x
    x = 2,427,059,226.80/56,357.40
  6. Step 6: Final answer
    x = 43,065.49

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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.