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Finding the Fourth Proportional to 76,492.85, 114,784.22 and 32,116.19

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Solution

The fourth proportional to 76,492.85, 114,784.22 and 32,116.19 is: 48,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,492.85 : 114,784.22 = 32,116.19 : x
  2. Step 2: Convert to fraction form
    76,492.85/114,784.22 = 32,116.19/x
  3. Step 3: Cross multiply
    76,492.85x = 114,784.22 × 32,116.19
  4. Step 4: Simplify right side
    76,492.85x = 3,686,431,084.02
  5. Step 5: Solve for x
    x = 3,686,431,084.02/76,492.85
  6. Step 6: Final answer
    x = 48,193.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.