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Finding the Fourth Proportional to 83,071, 114,689.82 and 53,314.84

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Solution

The fourth proportional to 83,071, 114,689.82 and 53,314.84 is: 73,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,071 : 114,689.82 = 53,314.84 : x
  2. Step 2: Convert to fraction form
    83,071/114,689.82 = 53,314.84/x
  3. Step 3: Cross multiply
    83,071x = 114,689.82 × 53,314.84
  4. Step 4: Simplify right side
    83,071x = 6,114,669,402.93
  5. Step 5: Solve for x
    x = 6,114,669,402.93/83,071
  6. Step 6: Final answer
    x = 73,607.75

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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.