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Finding the Fourth Proportional to 47,606.14, 65,693.86 and 26,384.14

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Solution

The fourth proportional to 47,606.14, 65,693.86 and 26,384.14 is: 36,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,606.14 : 65,693.86 = 26,384.14 : x
  2. Step 2: Convert to fraction form
    47,606.14/65,693.86 = 26,384.14/x
  3. Step 3: Cross multiply
    47,606.14x = 65,693.86 × 26,384.14
  4. Step 4: Simplify right side
    47,606.14x = 1,733,275,999.38
  5. Step 5: Solve for x
    x = 1,733,275,999.38/47,606.14
  6. Step 6: Final answer
    x = 36,408.66

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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.