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Finding the Fourth Proportional to 38,696, 53,411.88 and 25,269.32

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Solution

The fourth proportional to 38,696, 53,411.88 and 25,269.32 is: 34,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696 : 53,411.88 = 25,269.32 : x
  2. Step 2: Convert to fraction form
    38,696/53,411.88 = 25,269.32/x
  3. Step 3: Cross multiply
    38,696x = 53,411.88 × 25,269.32
  4. Step 4: Simplify right side
    38,696x = 1,349,681,887.52
  5. Step 5: Solve for x
    x = 1,349,681,887.52/38,696
  6. Step 6: Final answer
    x = 34,879.11

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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.