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Finding the Fourth Proportional to 42,886.50, 64,334.22 and 11,721.78

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Solution

The fourth proportional to 42,886.50, 64,334.22 and 11,721.78 is: 17,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,886.50 : 64,334.22 = 11,721.78 : x
  2. Step 2: Convert to fraction form
    42,886.50/64,334.22 = 11,721.78/x
  3. Step 3: Cross multiply
    42,886.50x = 64,334.22 × 11,721.78
  4. Step 4: Simplify right side
    42,886.50x = 754,111,573.31
  5. Step 5: Solve for x
    x = 754,111,573.31/42,886.50
  6. Step 6: Final answer
    x = 17,583.89

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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.