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Finding the Fourth Proportional to 38,749, 58,124.04 and 11,047

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Solution

The fourth proportional to 38,749, 58,124.04 and 11,047 is: 16,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,749 : 58,124.04 = 11,047 : x
  2. Step 2: Convert to fraction form
    38,749/58,124.04 = 11,047/x
  3. Step 3: Cross multiply
    38,749x = 58,124.04 × 11,047
  4. Step 4: Simplify right side
    38,749x = 642,096,269.88
  5. Step 5: Solve for x
    x = 642,096,269.88/38,749
  6. Step 6: Final answer
    x = 16,570.65

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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.