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Finding the Fourth Proportional to 53,646, 74,032.76 and 30,094

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Solution

The fourth proportional to 53,646, 74,032.76 and 30,094 is: 41,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,646 : 74,032.76 = 30,094 : x
  2. Step 2: Convert to fraction form
    53,646/74,032.76 = 30,094/x
  3. Step 3: Cross multiply
    53,646x = 74,032.76 × 30,094
  4. Step 4: Simplify right side
    53,646x = 2,227,941,879.44
  5. Step 5: Solve for x
    x = 2,227,941,879.44/53,646
  6. Step 6: Final answer
    x = 41,530.44

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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.