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Finding the Fourth Proportional to 77,465.10, 116,219.64 and 40,045.50

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Solution

The fourth proportional to 77,465.10, 116,219.64 and 40,045.50 is: 60,079.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,465.10 : 116,219.64 = 40,045.50 : x
  2. Step 2: Convert to fraction form
    77,465.10/116,219.64 = 40,045.50/x
  3. Step 3: Cross multiply
    77,465.10x = 116,219.64 × 40,045.50
  4. Step 4: Simplify right side
    77,465.10x = 4,654,073,593.62
  5. Step 5: Solve for x
    x = 4,654,073,593.62/77,465.10
  6. Step 6: Final answer
    x = 60,079.62

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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.