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Finding the Fourth Proportional to 48,643.84, 72,936.60 and 23,634.64

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Solution

The fourth proportional to 48,643.84, 72,936.60 and 23,634.64 is: 35,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,643.84 : 72,936.60 = 23,634.64 : x
  2. Step 2: Convert to fraction form
    48,643.84/72,936.60 = 23,634.64/x
  3. Step 3: Cross multiply
    48,643.84x = 72,936.60 × 23,634.64
  4. Step 4: Simplify right side
    48,643.84x = 1,723,830,283.82
  5. Step 5: Solve for x
    x = 1,723,830,283.82/48,643.84
  6. Step 6: Final answer
    x = 35,437.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.