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Finding the Fourth Proportional to 34,657.90, 51,981.42 and 11,284.18

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Solution

The fourth proportional to 34,657.90, 51,981.42 and 11,284.18 is: 16,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.90 : 51,981.42 = 11,284.18 : x
  2. Step 2: Convert to fraction form
    34,657.90/51,981.42 = 11,284.18/x
  3. Step 3: Cross multiply
    34,657.90x = 51,981.42 × 11,284.18
  4. Step 4: Simplify right side
    34,657.90x = 586,567,440.03
  5. Step 5: Solve for x
    x = 586,567,440.03/34,657.90
  6. Step 6: Final answer
    x = 16,924.50

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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.