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Finding the Fourth Proportional to 47,475.91, 65,498.38 and 30,475.63

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Solution

The fourth proportional to 47,475.91, 65,498.38 and 30,475.63 is: 42,044.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,475.91 : 65,498.38 = 30,475.63 : x
  2. Step 2: Convert to fraction form
    47,475.91/65,498.38 = 30,475.63/x
  3. Step 3: Cross multiply
    47,475.91x = 65,498.38 × 30,475.63
  4. Step 4: Simplify right side
    47,475.91x = 1,996,104,394.48
  5. Step 5: Solve for x
    x = 1,996,104,394.48/47,475.91
  6. Step 6: Final answer
    x = 42,044.57

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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.