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Finding the Fourth Proportional to 31,047.54, 46,567.46 and 8,862.86

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Solution

The fourth proportional to 31,047.54, 46,567.46 and 8,862.86 is: 13,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.54 : 46,567.46 = 8,862.86 : x
  2. Step 2: Convert to fraction form
    31,047.54/46,567.46 = 8,862.86/x
  3. Step 3: Cross multiply
    31,047.54x = 46,567.46 × 8,862.86
  4. Step 4: Simplify right side
    31,047.54x = 412,720,878.54
  5. Step 5: Solve for x
    x = 412,720,878.54/31,047.54
  6. Step 6: Final answer
    x = 13,293.19

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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.