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Finding the Fourth Proportional to 47,115, 65,014.65 and 27,731.86

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Solution

The fourth proportional to 47,115, 65,014.65 and 27,731.86 is: 38,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115 : 65,014.65 = 27,731.86 : x
  2. Step 2: Convert to fraction form
    47,115/65,014.65 = 27,731.86/x
  3. Step 3: Cross multiply
    47,115x = 65,014.65 × 27,731.86
  4. Step 4: Simplify right side
    47,115x = 1,802,977,009.21
  5. Step 5: Solve for x
    x = 1,802,977,009.21/47,115
  6. Step 6: Final answer
    x = 38,267.58

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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.