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Finding the Fourth Proportional to 47,530.62, 65,592 and 26,309.82

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Solution

The fourth proportional to 47,530.62, 65,592 and 26,309.82 is: 36,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,530.62 : 65,592 = 26,309.82 : x
  2. Step 2: Convert to fraction form
    47,530.62/65,592 = 26,309.82/x
  3. Step 3: Cross multiply
    47,530.62x = 65,592 × 26,309.82
  4. Step 4: Simplify right side
    47,530.62x = 1,725,713,713.44
  5. Step 5: Solve for x
    x = 1,725,713,713.44/47,530.62
  6. Step 6: Final answer
    x = 36,307.41

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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.