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Finding the Fourth Proportional to 31,079.52, 46,618.08 and 7,706.16

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Solution

The fourth proportional to 31,079.52, 46,618.08 and 7,706.16 is: 11,558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,079.52 : 46,618.08 = 7,706.16 : x
  2. Step 2: Convert to fraction form
    31,079.52/46,618.08 = 7,706.16/x
  3. Step 3: Cross multiply
    31,079.52x = 46,618.08 × 7,706.16
  4. Step 4: Simplify right side
    31,079.52x = 359,246,383.37
  5. Step 5: Solve for x
    x = 359,246,383.37/31,079.52
  6. Step 6: Final answer
    x = 11,558.94

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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.