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Finding the Fourth Proportional to 71,078.94, 106,386.94 and 52,351.60

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Solution

The fourth proportional to 71,078.94, 106,386.94 and 52,351.60 is: 78,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,078.94 : 106,386.94 = 52,351.60 : x
  2. Step 2: Convert to fraction form
    71,078.94/106,386.94 = 52,351.60/x
  3. Step 3: Cross multiply
    71,078.94x = 106,386.94 × 52,351.60
  4. Step 4: Simplify right side
    71,078.94x = 5,569,526,528.10
  5. Step 5: Solve for x
    x = 5,569,526,528.10/71,078.94
  6. Step 6: Final answer
    x = 78,356.92

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Why These Related Problems?

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