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Finding the Fourth Proportional to 70,287.08, 105,313.62 and 49,466.84

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Solution

The fourth proportional to 70,287.08, 105,313.62 and 49,466.84 is: 74,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.08 : 105,313.62 = 49,466.84 : x
  2. Step 2: Convert to fraction form
    70,287.08/105,313.62 = 49,466.84/x
  3. Step 3: Cross multiply
    70,287.08x = 105,313.62 × 49,466.84
  4. Step 4: Simplify right side
    70,287.08x = 5,209,531,990.36
  5. Step 5: Solve for x
    x = 5,209,531,990.36/70,287.08
  6. Step 6: Final answer
    x = 74,117.92

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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.