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Finding the Fourth Proportional to 47,127, 64,987.04 and 31,205.64

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Solution

The fourth proportional to 47,127, 64,987.04 and 31,205.64 is: 43,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,127 : 64,987.04 = 31,205.64 : x
  2. Step 2: Convert to fraction form
    47,127/64,987.04 = 31,205.64/x
  3. Step 3: Cross multiply
    47,127x = 64,987.04 × 31,205.64
  4. Step 4: Simplify right side
    47,127x = 2,027,962,174.91
  5. Step 5: Solve for x
    x = 2,027,962,174.91/47,127
  6. Step 6: Final answer
    x = 43,031.85

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