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Finding the Fourth Proportional to 34,152.50, 51,234.93 and 15,441.35

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Solution

The fourth proportional to 34,152.50, 51,234.93 and 15,441.35 is: 23,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.50 : 51,234.93 = 15,441.35 : x
  2. Step 2: Convert to fraction form
    34,152.50/51,234.93 = 15,441.35/x
  3. Step 3: Cross multiply
    34,152.50x = 51,234.93 × 15,441.35
  4. Step 4: Simplify right side
    34,152.50x = 791,136,518.38
  5. Step 5: Solve for x
    x = 791,136,518.38/34,152.50
  6. Step 6: Final answer
    x = 23,164.82

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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.