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Finding the Fourth Proportional to 58,102.21, 87,167.85 and 16,549.21

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Solution

The fourth proportional to 58,102.21, 87,167.85 and 16,549.21 is: 24,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,102.21 : 87,167.85 = 16,549.21 : x
  2. Step 2: Convert to fraction form
    58,102.21/87,167.85 = 16,549.21/x
  3. Step 3: Cross multiply
    58,102.21x = 87,167.85 × 16,549.21
  4. Step 4: Simplify right side
    58,102.21x = 1,442,559,054.90
  5. Step 5: Solve for x
    x = 1,442,559,054.90/58,102.21
  6. Step 6: Final answer
    x = 24,827.95

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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.