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Finding the Fourth Proportional to 35,683, 49,242.54 and 21,535.84

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Solution

The fourth proportional to 35,683, 49,242.54 and 21,535.84 is: 29,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683 : 49,242.54 = 21,535.84 : x
  2. Step 2: Convert to fraction form
    35,683/49,242.54 = 21,535.84/x
  3. Step 3: Cross multiply
    35,683x = 49,242.54 × 21,535.84
  4. Step 4: Simplify right side
    35,683x = 1,060,479,462.63
  5. Step 5: Solve for x
    x = 1,060,479,462.63/35,683
  6. Step 6: Final answer
    x = 29,719.46

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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.