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Finding the Fourth Proportional to 54,996, 75,914.16 and 32,640

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Solution

The fourth proportional to 54,996, 75,914.16 and 32,640 is: 45,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,996 : 75,914.16 = 32,640 : x
  2. Step 2: Convert to fraction form
    54,996/75,914.16 = 32,640/x
  3. Step 3: Cross multiply
    54,996x = 75,914.16 × 32,640
  4. Step 4: Simplify right side
    54,996x = 2,477,838,182.40
  5. Step 5: Solve for x
    x = 2,477,838,182.40/54,996
  6. Step 6: Final answer
    x = 45,054.88

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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.