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Finding the Fourth Proportional to 70,585.44, 105,905.52 and 31,114.92

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Solution

The fourth proportional to 70,585.44, 105,905.52 and 31,114.92 is: 46,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,585.44 : 105,905.52 = 31,114.92 : x
  2. Step 2: Convert to fraction form
    70,585.44/105,905.52 = 31,114.92/x
  3. Step 3: Cross multiply
    70,585.44x = 105,905.52 × 31,114.92
  4. Step 4: Simplify right side
    70,585.44x = 3,295,241,782.36
  5. Step 5: Solve for x
    x = 3,295,241,782.36/70,585.44
  6. Step 6: Final answer
    x = 46,684.44

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1.5x scale

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.