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Finding the Fourth Proportional to 56,217, 77,579.67 and 31,066.50

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Solution

The fourth proportional to 56,217, 77,579.67 and 31,066.50 is: 42,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,217 : 77,579.67 = 31,066.50 : x
  2. Step 2: Convert to fraction form
    56,217/77,579.67 = 31,066.50/x
  3. Step 3: Cross multiply
    56,217x = 77,579.67 × 31,066.50
  4. Step 4: Simplify right side
    56,217x = 2,410,128,818.06
  5. Step 5: Solve for x
    x = 2,410,128,818.06/56,217
  6. Step 6: Final answer
    x = 42,871.89

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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.