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Finding the Fourth Proportional to 38,534.79, 53,114.38 and 25,783.41

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Solution

The fourth proportional to 38,534.79, 53,114.38 and 25,783.41 is: 35,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.79 : 53,114.38 = 25,783.41 : x
  2. Step 2: Convert to fraction form
    38,534.79/53,114.38 = 25,783.41/x
  3. Step 3: Cross multiply
    38,534.79x = 53,114.38 × 25,783.41
  4. Step 4: Simplify right side
    38,534.79x = 1,369,470,116.19
  5. Step 5: Solve for x
    x = 1,369,470,116.19/38,534.79
  6. Step 6: Final answer
    x = 35,538.54

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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.