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Finding the Fourth Proportional to 70,287.40, 105,314.46 and 49,467.16

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Solution

The fourth proportional to 70,287.40, 105,314.46 and 49,467.16 is: 74,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.40 : 105,314.46 = 49,467.16 : x
  2. Step 2: Convert to fraction form
    70,287.40/105,314.46 = 49,467.16/x
  3. Step 3: Cross multiply
    70,287.40x = 105,314.46 × 49,467.16
  4. Step 4: Simplify right side
    70,287.40x = 5,209,607,243.13
  5. Step 5: Solve for x
    x = 5,209,607,243.13/70,287.40
  6. Step 6: Final answer
    x = 74,118.65

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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.