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Finding the Fourth Proportional to 35,888.40, 54,101.45 and 33,480

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Solution

The fourth proportional to 35,888.40, 54,101.45 and 33,480 is: 50,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,888.40 : 54,101.45 = 33,480 : x
  2. Step 2: Convert to fraction form
    35,888.40/54,101.45 = 33,480/x
  3. Step 3: Cross multiply
    35,888.40x = 54,101.45 × 33,480
  4. Step 4: Simplify right side
    35,888.40x = 1,811,316,629.70
  5. Step 5: Solve for x
    x = 1,811,316,629.70/35,888.40
  6. Step 6: Final answer
    x = 50,470.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.