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Finding the Fourth Proportional to 35,857.72, 53,788.40 and 9,562.68

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Solution

The fourth proportional to 35,857.72, 53,788.40 and 9,562.68 is: 14,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.72 : 53,788.40 = 9,562.68 : x
  2. Step 2: Convert to fraction form
    35,857.72/53,788.40 = 9,562.68/x
  3. Step 3: Cross multiply
    35,857.72x = 53,788.40 × 9,562.68
  4. Step 4: Simplify right side
    35,857.72x = 514,361,256.91
  5. Step 5: Solve for x
    x = 514,361,256.91/35,857.72
  6. Step 6: Final answer
    x = 14,344.51

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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.