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Finding the Fourth Proportional to 70,502.97, 105,788.88 and 31,055.16

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Solution

The fourth proportional to 70,502.97, 105,788.88 and 31,055.16 is: 46,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,502.97 : 105,788.88 = 31,055.16 : x
  2. Step 2: Convert to fraction form
    70,502.97/105,788.88 = 31,055.16/x
  3. Step 3: Cross multiply
    70,502.97x = 105,788.88 × 31,055.16
  4. Step 4: Simplify right side
    70,502.97x = 3,285,290,594.62
  5. Step 5: Solve for x
    x = 3,285,290,594.62/70,502.97
  6. Step 6: Final answer
    x = 46,597.90

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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.