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Finding the Fourth Proportional to 58,971.68, 81,381 and 32,114.30

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Solution

The fourth proportional to 58,971.68, 81,381 and 32,114.30 is: 44,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,971.68 : 81,381 = 32,114.30 : x
  2. Step 2: Convert to fraction form
    58,971.68/81,381 = 32,114.30/x
  3. Step 3: Cross multiply
    58,971.68x = 81,381 × 32,114.30
  4. Step 4: Simplify right side
    58,971.68x = 2,613,493,441.40
  5. Step 5: Solve for x
    x = 2,613,493,441.40/58,971.68
  6. Step 6: Final answer
    x = 44,317.78

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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.