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Finding the Fourth Proportional to 31,281.57, 46,922.54 and 9,095.09

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Solution

The fourth proportional to 31,281.57, 46,922.54 and 9,095.09 is: 13,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,281.57 : 46,922.54 = 9,095.09 : x
  2. Step 2: Convert to fraction form
    31,281.57/46,922.54 = 9,095.09/x
  3. Step 3: Cross multiply
    31,281.57x = 46,922.54 × 9,095.09
  4. Step 4: Simplify right side
    31,281.57x = 426,764,444.24
  5. Step 5: Solve for x
    x = 426,764,444.24/31,281.57
  6. Step 6: Final answer
    x = 13,642.68

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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.