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Finding the Fourth Proportional to 34,534.32, 47,663.22 and 25,506.57

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Solution

The fourth proportional to 34,534.32, 47,663.22 and 25,506.57 is: 35,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.32 : 47,663.22 = 25,506.57 : x
  2. Step 2: Convert to fraction form
    34,534.32/47,663.22 = 25,506.57/x
  3. Step 3: Cross multiply
    34,534.32x = 47,663.22 × 25,506.57
  4. Step 4: Simplify right side
    34,534.32x = 1,215,725,353.01
  5. Step 5: Solve for x
    x = 1,215,725,353.01/34,534.32
  6. Step 6: Final answer
    x = 35,203.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.