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Finding the Fourth Proportional to 38,704.50, 58,066.50 and 11,002.50

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Solution

The fourth proportional to 38,704.50, 58,066.50 and 11,002.50 is: 16,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.50 : 58,066.50 = 11,002.50 : x
  2. Step 2: Convert to fraction form
    38,704.50/58,066.50 = 11,002.50/x
  3. Step 3: Cross multiply
    38,704.50x = 58,066.50 × 11,002.50
  4. Step 4: Simplify right side
    38,704.50x = 638,876,707.51
  5. Step 5: Solve for x
    x = 638,876,707.51/38,704.50
  6. Step 6: Final answer
    x = 16,506.52

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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.