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Finding the Fourth Proportional to 32,640, 45,047.04 and 19,392

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Solution

The fourth proportional to 32,640, 45,047.04 and 19,392 is: 26,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640 : 45,047.04 = 19,392 : x
  2. Step 2: Convert to fraction form
    32,640/45,047.04 = 19,392/x
  3. Step 3: Cross multiply
    32,640x = 45,047.04 × 19,392
  4. Step 4: Simplify right side
    32,640x = 873,552,199.68
  5. Step 5: Solve for x
    x = 873,552,199.68/32,640
  6. Step 6: Final answer
    x = 26,763.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.