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Finding the Fourth Proportional to 52,095.60, 78,143.40 and 40,431.60

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Solution

The fourth proportional to 52,095.60, 78,143.40 and 40,431.60 is: 60,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.60 : 78,143.40 = 40,431.60 : x
  2. Step 2: Convert to fraction form
    52,095.60/78,143.40 = 40,431.60/x
  3. Step 3: Cross multiply
    52,095.60x = 78,143.40 × 40,431.60
  4. Step 4: Simplify right side
    52,095.60x = 3,159,462,691.44
  5. Step 5: Solve for x
    x = 3,159,462,691.44/52,095.60
  6. Step 6: Final answer
    x = 60,647.40

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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.