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Finding the Fourth Proportional to 35,957.66, 53,939.74 and 9,661.82

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Solution

The fourth proportional to 35,957.66, 53,939.74 and 9,661.82 is: 14,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,957.66 : 53,939.74 = 9,661.82 : x
  2. Step 2: Convert to fraction form
    35,957.66/53,939.74 = 9,661.82/x
  3. Step 3: Cross multiply
    35,957.66x = 53,939.74 × 9,661.82
  4. Step 4: Simplify right side
    35,957.66x = 521,156,058.73
  5. Step 5: Solve for x
    x = 521,156,058.73/35,957.66
  6. Step 6: Final answer
    x = 14,493.60

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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.