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Finding the Fourth Proportional to 47,776.65, 71,664.98 and 18,208.17

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Solution

The fourth proportional to 47,776.65, 71,664.98 and 18,208.17 is: 27,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,776.65 : 71,664.98 = 18,208.17 : x
  2. Step 2: Convert to fraction form
    47,776.65/71,664.98 = 18,208.17/x
  3. Step 3: Cross multiply
    47,776.65x = 71,664.98 × 18,208.17
  4. Step 4: Simplify right side
    47,776.65x = 1,304,888,047.85
  5. Step 5: Solve for x
    x = 1,304,888,047.85/47,776.65
  6. Step 6: Final answer
    x = 27,312.26

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1.5x scale

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.