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Finding the Fourth Proportional to 37,377, 56,066.58 and 9,675

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Solution

The fourth proportional to 37,377, 56,066.58 and 9,675 is: 14,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,377 : 56,066.58 = 9,675 : x
  2. Step 2: Convert to fraction form
    37,377/56,066.58 = 9,675/x
  3. Step 3: Cross multiply
    37,377x = 56,066.58 × 9,675
  4. Step 4: Simplify right side
    37,377x = 542,444,161.50
  5. Step 5: Solve for x
    x = 542,444,161.50/37,377
  6. Step 6: Final answer
    x = 14,512.78

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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.