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Finding the Fourth Proportional to 71,027.40, 106,400.70 and 46,084.80

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Solution

The fourth proportional to 71,027.40, 106,400.70 and 46,084.80 is: 69,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,027.40 : 106,400.70 = 46,084.80 : x
  2. Step 2: Convert to fraction form
    71,027.40/106,400.70 = 46,084.80/x
  3. Step 3: Cross multiply
    71,027.40x = 106,400.70 × 46,084.80
  4. Step 4: Simplify right side
    71,027.40x = 4,903,454,979.36
  5. Step 5: Solve for x
    x = 4,903,454,979.36/71,027.40
  6. Step 6: Final answer
    x = 69,036.10

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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.