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Finding the Fourth Proportional to 32,844.36, 49,266.56 and 10,657.76

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Solution

The fourth proportional to 32,844.36, 49,266.56 and 10,657.76 is: 15,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,844.36 : 49,266.56 = 10,657.76 : x
  2. Step 2: Convert to fraction form
    32,844.36/49,266.56 = 10,657.76/x
  3. Step 3: Cross multiply
    32,844.36x = 49,266.56 × 10,657.76
  4. Step 4: Simplify right side
    32,844.36x = 525,071,172.51
  5. Step 5: Solve for x
    x = 525,071,172.51/32,844.36
  6. Step 6: Final answer
    x = 15,986.65

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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.