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Finding the Fourth Proportional to 35,713.63, 49,325.16 and 24,363.64

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Solution

The fourth proportional to 35,713.63, 49,325.16 and 24,363.64 is: 33,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.63 : 49,325.16 = 24,363.64 : x
  2. Step 2: Convert to fraction form
    35,713.63/49,325.16 = 24,363.64/x
  3. Step 3: Cross multiply
    35,713.63x = 49,325.16 × 24,363.64
  4. Step 4: Simplify right side
    35,713.63x = 1,201,740,441.18
  5. Step 5: Solve for x
    x = 1,201,740,441.18/35,713.63
  6. Step 6: Final answer
    x = 33,649.35

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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.