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Finding the Fourth Proportional to 47,559, 65,631.28 and 27,415.77

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Solution

The fourth proportional to 47,559, 65,631.28 and 27,415.77 is: 37,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,559 : 65,631.28 = 27,415.77 : x
  2. Step 2: Convert to fraction form
    47,559/65,631.28 = 27,415.77/x
  3. Step 3: Cross multiply
    47,559x = 65,631.28 × 27,415.77
  4. Step 4: Simplify right side
    47,559x = 1,799,332,077.29
  5. Step 5: Solve for x
    x = 1,799,332,077.29/47,559
  6. Step 6: Final answer
    x = 37,833.68

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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.