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Finding the Fourth Proportional to 35,598.84, 49,122 and 19,683.60

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Solution

The fourth proportional to 35,598.84, 49,122 and 19,683.60 is: 27,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,598.84 : 49,122 = 19,683.60 : x
  2. Step 2: Convert to fraction form
    35,598.84/49,122 = 19,683.60/x
  3. Step 3: Cross multiply
    35,598.84x = 49,122 × 19,683.60
  4. Step 4: Simplify right side
    35,598.84x = 966,897,799.20
  5. Step 5: Solve for x
    x = 966,897,799.20/35,598.84
  6. Step 6: Final answer
    x = 27,160.94

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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.