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Finding the Fourth Proportional to 53,881.33, 74,358.54 and 30,008

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Solution

The fourth proportional to 53,881.33, 74,358.54 and 30,008 is: 41,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,881.33 : 74,358.54 = 30,008 : x
  2. Step 2: Convert to fraction form
    53,881.33/74,358.54 = 30,008/x
  3. Step 3: Cross multiply
    53,881.33x = 74,358.54 × 30,008
  4. Step 4: Simplify right side
    53,881.33x = 2,231,351,068.32
  5. Step 5: Solve for x
    x = 2,231,351,068.32/53,881.33
  6. Step 6: Final answer
    x = 41,412.32

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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.