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Finding the Fourth Proportional to 34,441.91, 51,656.01 and 9,475.50

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Solution

The fourth proportional to 34,441.91, 51,656.01 and 9,475.50 is: 14,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,441.91 : 51,656.01 = 9,475.50 : x
  2. Step 2: Convert to fraction form
    34,441.91/51,656.01 = 9,475.50/x
  3. Step 3: Cross multiply
    34,441.91x = 51,656.01 × 9,475.50
  4. Step 4: Simplify right side
    34,441.91x = 489,466,522.76
  5. Step 5: Solve for x
    x = 489,466,522.76/34,441.91
  6. Step 6: Final answer
    x = 14,211.37

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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.