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Finding the Fourth Proportional to 35,848.93, 53,772.18 and 13,661.50

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Solution

The fourth proportional to 35,848.93, 53,772.18 and 13,661.50 is: 20,491.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,848.93 : 53,772.18 = 13,661.50 : x
  2. Step 2: Convert to fraction form
    35,848.93/53,772.18 = 13,661.50/x
  3. Step 3: Cross multiply
    35,848.93x = 53,772.18 × 13,661.50
  4. Step 4: Simplify right side
    35,848.93x = 734,608,637.07
  5. Step 5: Solve for x
    x = 734,608,637.07/35,848.93
  6. Step 6: Final answer
    x = 20,491.79

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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.