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Finding the Fourth Proportional to 82,692.68, 114,113.46 and 46,885.96

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Solution

The fourth proportional to 82,692.68, 114,113.46 and 46,885.96 is: 64,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,692.68 : 114,113.46 = 46,885.96 : x
  2. Step 2: Convert to fraction form
    82,692.68/114,113.46 = 46,885.96/x
  3. Step 3: Cross multiply
    82,692.68x = 114,113.46 × 46,885.96
  4. Step 4: Simplify right side
    82,692.68x = 5,350,319,121.02
  5. Step 5: Solve for x
    x = 5,350,319,121.02/82,692.68
  6. Step 6: Final answer
    x = 64,701.24

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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.