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Finding the Fourth Proportional to 49,885.47, 74,827.98 and 16,605.48

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Solution

The fourth proportional to 49,885.47, 74,827.98 and 16,605.48 is: 24,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,885.47 : 74,827.98 = 16,605.48 : x
  2. Step 2: Convert to fraction form
    49,885.47/74,827.98 = 16,605.48/x
  3. Step 3: Cross multiply
    49,885.47x = 74,827.98 × 16,605.48
  4. Step 4: Simplify right side
    49,885.47x = 1,242,554,548.78
  5. Step 5: Solve for x
    x = 1,242,554,548.78/49,885.47
  6. Step 6: Final answer
    x = 24,908.15

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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.