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Finding the Fourth Proportional to 47,704.37, 65,827.13 and 27,567.77

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Solution

The fourth proportional to 47,704.37, 65,827.13 and 27,567.77 is: 38,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.37 : 65,827.13 = 27,567.77 : x
  2. Step 2: Convert to fraction form
    47,704.37/65,827.13 = 27,567.77/x
  3. Step 3: Cross multiply
    47,704.37x = 65,827.13 × 27,567.77
  4. Step 4: Simplify right side
    47,704.37x = 1,814,706,712.63
  5. Step 5: Solve for x
    x = 1,814,706,712.63/47,704.37
  6. Step 6: Final answer
    x = 38,040.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.