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Finding the Fourth Proportional to 30,643.20, 45,964.80 and 21,700.80

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Solution

The fourth proportional to 30,643.20, 45,964.80 and 21,700.80 is: 32,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.20 : 45,964.80 = 21,700.80 : x
  2. Step 2: Convert to fraction form
    30,643.20/45,964.80 = 21,700.80/x
  3. Step 3: Cross multiply
    30,643.20x = 45,964.80 × 21,700.80
  4. Step 4: Simplify right side
    30,643.20x = 997,472,931.84
  5. Step 5: Solve for x
    x = 997,472,931.84/30,643.20
  6. Step 6: Final answer
    x = 32,551.20

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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.