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Finding the Fourth Proportional to 38,501, 57,774.54 and 16,613

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Solution

The fourth proportional to 38,501, 57,774.54 and 16,613 is: 24,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,501 : 57,774.54 = 16,613 : x
  2. Step 2: Convert to fraction form
    38,501/57,774.54 = 16,613/x
  3. Step 3: Cross multiply
    38,501x = 57,774.54 × 16,613
  4. Step 4: Simplify right side
    38,501x = 959,808,433.02
  5. Step 5: Solve for x
    x = 959,808,433.02/38,501
  6. Step 6: Final answer
    x = 24,929.44

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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.