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Finding the Fourth Proportional to 34,641.53, 51,967.77 and 11,262.50

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Solution

The fourth proportional to 34,641.53, 51,967.77 and 11,262.50 is: 16,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,641.53 : 51,967.77 = 11,262.50 : x
  2. Step 2: Convert to fraction form
    34,641.53/51,967.77 = 11,262.50/x
  3. Step 3: Cross multiply
    34,641.53x = 51,967.77 × 11,262.50
  4. Step 4: Simplify right side
    34,641.53x = 585,287,009.63
  5. Step 5: Solve for x
    x = 585,287,009.63/34,641.53
  6. Step 6: Final answer
    x = 16,895.53

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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.