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Finding the Fourth Proportional to 42,717.16, 64,077 and 11,552.68

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Solution

The fourth proportional to 42,717.16, 64,077 and 11,552.68 is: 17,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,717.16 : 64,077 = 11,552.68 : x
  2. Step 2: Convert to fraction form
    42,717.16/64,077 = 11,552.68/x
  3. Step 3: Cross multiply
    42,717.16x = 64,077 × 11,552.68
  4. Step 4: Simplify right side
    42,717.16x = 740,261,076.36
  5. Step 5: Solve for x
    x = 740,261,076.36/42,717.16
  6. Step 6: Final answer
    x = 17,329.36

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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.