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Finding the Fourth Proportional to 142,767.74, 214,162.14 and 37,586

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Solution

The fourth proportional to 142,767.74, 214,162.14 and 37,586 is: 56,381.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,767.74 : 214,162.14 = 37,586 : x
  2. Step 2: Convert to fraction form
    142,767.74/214,162.14 = 37,586/x
  3. Step 3: Cross multiply
    142,767.74x = 214,162.14 × 37,586
  4. Step 4: Simplify right side
    142,767.74x = 8,049,498,194.04
  5. Step 5: Solve for x
    x = 8,049,498,194.04/142,767.74
  6. Step 6: Final answer
    x = 56,381.77

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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.