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Finding the Fourth Proportional to 35,718.14, 49,331.38 and 24,368.14

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Solution

The fourth proportional to 35,718.14, 49,331.38 and 24,368.14 is: 33,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,718.14 : 49,331.38 = 24,368.14 : x
  2. Step 2: Convert to fraction form
    35,718.14/49,331.38 = 24,368.14/x
  3. Step 3: Cross multiply
    35,718.14x = 49,331.38 × 24,368.14
  4. Step 4: Simplify right side
    35,718.14x = 1,202,113,974.23
  5. Step 5: Solve for x
    x = 1,202,113,974.23/35,718.14
  6. Step 6: Final answer
    x = 33,655.56

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Why These Related Problems?

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