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Finding the Fourth Proportional to 29,570.16, 40,735.38 and 25,307.54

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Solution

The fourth proportional to 29,570.16, 40,735.38 and 25,307.54 is: 34,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570.16 : 40,735.38 = 25,307.54 : x
  2. Step 2: Convert to fraction form
    29,570.16/40,735.38 = 25,307.54/x
  3. Step 3: Cross multiply
    29,570.16x = 40,735.38 × 25,307.54
  4. Step 4: Simplify right side
    29,570.16x = 1,030,912,258.77
  5. Step 5: Solve for x
    x = 1,030,912,258.77/29,570.16
  6. Step 6: Final answer
    x = 34,863.26

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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.