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Finding the Fourth Proportional to 38,543.17, 53,198.47 and 25,091

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Solution

The fourth proportional to 38,543.17, 53,198.47 and 25,091 is: 34,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.17 : 53,198.47 = 25,091 : x
  2. Step 2: Convert to fraction form
    38,543.17/53,198.47 = 25,091/x
  3. Step 3: Cross multiply
    38,543.17x = 53,198.47 × 25,091
  4. Step 4: Simplify right side
    38,543.17x = 1,334,802,810.77
  5. Step 5: Solve for x
    x = 1,334,802,810.77/38,543.17
  6. Step 6: Final answer
    x = 34,631.37

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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.