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Finding the Fourth Proportional to 34,442.91, 51,657.51 and 9,476.50

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Solution

The fourth proportional to 34,442.91, 51,657.51 and 9,476.50 is: 14,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,442.91 : 51,657.51 = 9,476.50 : x
  2. Step 2: Convert to fraction form
    34,442.91/51,657.51 = 9,476.50/x
  3. Step 3: Cross multiply
    34,442.91x = 51,657.51 × 9,476.50
  4. Step 4: Simplify right side
    34,442.91x = 489,532,393.52
  5. Step 5: Solve for x
    x = 489,532,393.52/34,442.91
  6. Step 6: Final answer
    x = 14,212.86

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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.