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Finding the Fourth Proportional to 34,978.33, 52,477.75 and 11,289.53

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Solution

The fourth proportional to 34,978.33, 52,477.75 and 11,289.53 is: 16,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,978.33 : 52,477.75 = 11,289.53 : x
  2. Step 2: Convert to fraction form
    34,978.33/52,477.75 = 11,289.53/x
  3. Step 3: Cross multiply
    34,978.33x = 52,477.75 × 11,289.53
  4. Step 4: Simplify right side
    34,978.33x = 592,449,283.41
  5. Step 5: Solve for x
    x = 592,449,283.41/34,978.33
  6. Step 6: Final answer
    x = 16,937.61

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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.