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Finding the Fourth Proportional to 62,783.48, 86,641.26 and 34,491

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Solution

The fourth proportional to 62,783.48, 86,641.26 and 34,491 is: 47,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,783.48 : 86,641.26 = 34,491 : x
  2. Step 2: Convert to fraction form
    62,783.48/86,641.26 = 34,491/x
  3. Step 3: Cross multiply
    62,783.48x = 86,641.26 × 34,491
  4. Step 4: Simplify right side
    62,783.48x = 2,988,343,698.66
  5. Step 5: Solve for x
    x = 2,988,343,698.66/62,783.48
  6. Step 6: Final answer
    x = 47,597.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.