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Finding the Fourth Proportional to 38,694, 53,409.12 and 25,267.32

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Solution

The fourth proportional to 38,694, 53,409.12 and 25,267.32 is: 34,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,694 : 53,409.12 = 25,267.32 : x
  2. Step 2: Convert to fraction form
    38,694/53,409.12 = 25,267.32/x
  3. Step 3: Cross multiply
    38,694x = 53,409.12 × 25,267.32
  4. Step 4: Simplify right side
    38,694x = 1,349,505,325.96
  5. Step 5: Solve for x
    x = 1,349,505,325.96/38,694
  6. Step 6: Final answer
    x = 34,876.35

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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.