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Finding the Fourth Proportional to 56,851.50, 78,457.50 and 31,701

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Solution

The fourth proportional to 56,851.50, 78,457.50 and 31,701 is: 43,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,851.50 : 78,457.50 = 31,701 : x
  2. Step 2: Convert to fraction form
    56,851.50/78,457.50 = 31,701/x
  3. Step 3: Cross multiply
    56,851.50x = 78,457.50 × 31,701
  4. Step 4: Simplify right side
    56,851.50x = 2,487,181,207.50
  5. Step 5: Solve for x
    x = 2,487,181,207.50/56,851.50
  6. Step 6: Final answer
    x = 43,748.73

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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.