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Finding the Fourth Proportional to 56,871, 78,484.41 and 31,720.50

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Solution

The fourth proportional to 56,871, 78,484.41 and 31,720.50 is: 43,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,871 : 78,484.41 = 31,720.50 : x
  2. Step 2: Convert to fraction form
    56,871/78,484.41 = 31,720.50/x
  3. Step 3: Cross multiply
    56,871x = 78,484.41 × 31,720.50
  4. Step 4: Simplify right side
    56,871x = 2,489,564,727.41
  5. Step 5: Solve for x
    x = 2,489,564,727.41/56,871
  6. Step 6: Final answer
    x = 43,775.65

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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.