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Finding the Fourth Proportional to 46,797.64, 70,233.40 and 21,824.80

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Solution

The fourth proportional to 46,797.64, 70,233.40 and 21,824.80 is: 32,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,797.64 : 70,233.40 = 21,824.80 : x
  2. Step 2: Convert to fraction form
    46,797.64/70,233.40 = 21,824.80/x
  3. Step 3: Cross multiply
    46,797.64x = 70,233.40 × 21,824.80
  4. Step 4: Simplify right side
    46,797.64x = 1,532,829,908.32
  5. Step 5: Solve for x
    x = 1,532,829,908.32/46,797.64
  6. Step 6: Final answer
    x = 32,754.43

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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.