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Finding the Fourth Proportional to 42,822.25, 64,234.18 and 11,657.50

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Solution

The fourth proportional to 42,822.25, 64,234.18 and 11,657.50 is: 17,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,822.25 : 64,234.18 = 11,657.50 : x
  2. Step 2: Convert to fraction form
    42,822.25/64,234.18 = 11,657.50/x
  3. Step 3: Cross multiply
    42,822.25x = 64,234.18 × 11,657.50
  4. Step 4: Simplify right side
    42,822.25x = 748,809,953.35
  5. Step 5: Solve for x
    x = 748,809,953.35/42,822.25
  6. Step 6: Final answer
    x = 17,486.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.