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Finding the Fourth Proportional to 47,351.70, 70,639.44 and 46,064.61

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Solution

The fourth proportional to 47,351.70, 70,639.44 and 46,064.61 is: 68,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,351.70 : 70,639.44 = 46,064.61 : x
  2. Step 2: Convert to fraction form
    47,351.70/70,639.44 = 46,064.61/x
  3. Step 3: Cross multiply
    47,351.70x = 70,639.44 × 46,064.61
  4. Step 4: Simplify right side
    47,351.70x = 3,253,977,901.02
  5. Step 5: Solve for x
    x = 3,253,977,901.02/47,351.70
  6. Step 6: Final answer
    x = 68,719.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.