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Finding the Fourth Proportional to 35,734.68, 49,316.88 and 19,824.25

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Solution

The fourth proportional to 35,734.68, 49,316.88 and 19,824.25 is: 27,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,734.68 : 49,316.88 = 19,824.25 : x
  2. Step 2: Convert to fraction form
    35,734.68/49,316.88 = 19,824.25/x
  3. Step 3: Cross multiply
    35,734.68x = 49,316.88 × 19,824.25
  4. Step 4: Simplify right side
    35,734.68x = 977,670,158.34
  5. Step 5: Solve for x
    x = 977,670,158.34/35,734.68
  6. Step 6: Final answer
    x = 27,359.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.