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Finding the Fourth Proportional to 83,051.49, 114,611.85 and 45,325.74

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Solution

The fourth proportional to 83,051.49, 114,611.85 and 45,325.74 is: 62,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,051.49 : 114,611.85 = 45,325.74 : x
  2. Step 2: Convert to fraction form
    83,051.49/114,611.85 = 45,325.74/x
  3. Step 3: Cross multiply
    83,051.49x = 114,611.85 × 45,325.74
  4. Step 4: Simplify right side
    83,051.49x = 5,194,866,914.02
  5. Step 5: Solve for x
    x = 5,194,866,914.02/83,051.49
  6. Step 6: Final answer
    x = 62,549.95

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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.