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Finding the Fourth Proportional to 38,696.13, 53,410.19 and 23,597.12

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Solution

The fourth proportional to 38,696.13, 53,410.19 and 23,597.12 is: 32,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.13 : 53,410.19 = 23,597.12 : x
  2. Step 2: Convert to fraction form
    38,696.13/53,410.19 = 23,597.12/x
  3. Step 3: Cross multiply
    38,696.13x = 53,410.19 × 23,597.12
  4. Step 4: Simplify right side
    38,696.13x = 1,260,326,678.19
  5. Step 5: Solve for x
    x = 1,260,326,678.19/38,696.13
  6. Step 6: Final answer
    x = 32,569.84

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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.