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Finding the Fourth Proportional to 38,970.36, 53,743.23 and 25,536.74

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Solution

The fourth proportional to 38,970.36, 53,743.23 and 25,536.74 is: 35,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.36 : 53,743.23 = 25,536.74 : x
  2. Step 2: Convert to fraction form
    38,970.36/53,743.23 = 25,536.74/x
  3. Step 3: Cross multiply
    38,970.36x = 53,743.23 × 25,536.74
  4. Step 4: Simplify right side
    38,970.36x = 1,372,426,622.55
  5. Step 5: Solve for x
    x = 1,372,426,622.55/38,970.36
  6. Step 6: Final answer
    x = 35,217.19

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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.