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Finding the Fourth Proportional to 47,337.68, 65,326 and 26,116.96

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Solution

The fourth proportional to 47,337.68, 65,326 and 26,116.96 is: 36,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,337.68 : 65,326 = 26,116.96 : x
  2. Step 2: Convert to fraction form
    47,337.68/65,326 = 26,116.96/x
  3. Step 3: Cross multiply
    47,337.68x = 65,326 × 26,116.96
  4. Step 4: Simplify right side
    47,337.68x = 1,706,116,528.96
  5. Step 5: Solve for x
    x = 1,706,116,528.96/47,337.68
  6. Step 6: Final answer
    x = 36,041.41

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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.