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Finding the Fourth Proportional to 56,715.74, 78,266.39 and 31,564.70

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Solution

The fourth proportional to 56,715.74, 78,266.39 and 31,564.70 is: 43,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,715.74 : 78,266.39 = 31,564.70 : x
  2. Step 2: Convert to fraction form
    56,715.74/78,266.39 = 31,564.70/x
  3. Step 3: Cross multiply
    56,715.74x = 78,266.39 × 31,564.70
  4. Step 4: Simplify right side
    56,715.74x = 2,470,455,120.43
  5. Step 5: Solve for x
    x = 2,470,455,120.43/56,715.74
  6. Step 6: Final answer
    x = 43,558.55

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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.