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Finding the Fourth Proportional to 40,967.52, 61,461 and 13,265.52

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Solution

The fourth proportional to 40,967.52, 61,461 and 13,265.52 is: 19,901.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,967.52 : 61,461 = 13,265.52 : x
  2. Step 2: Convert to fraction form
    40,967.52/61,461 = 13,265.52/x
  3. Step 3: Cross multiply
    40,967.52x = 61,461 × 13,265.52
  4. Step 4: Simplify right side
    40,967.52x = 815,312,124.72
  5. Step 5: Solve for x
    x = 815,312,124.72/40,967.52
  6. Step 6: Final answer
    x = 19,901.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.