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Finding the Fourth Proportional to 103,466.50, 155,199.75 and 29,594.50

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Solution

The fourth proportional to 103,466.50, 155,199.75 and 29,594.50 is: 44,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,466.50 : 155,199.75 = 29,594.50 : x
  2. Step 2: Convert to fraction form
    103,466.50/155,199.75 = 29,594.50/x
  3. Step 3: Cross multiply
    103,466.50x = 155,199.75 × 29,594.50
  4. Step 4: Simplify right side
    103,466.50x = 4,593,059,001.38
  5. Step 5: Solve for x
    x = 4,593,059,001.38/103,466.50
  6. Step 6: Final answer
    x = 44,391.75

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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.