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Finding the Fourth Proportional to 35,410.40, 53,144.40 and 34,258.40

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Solution

The fourth proportional to 35,410.40, 53,144.40 and 34,258.40 is: 51,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,410.40 : 53,144.40 = 34,258.40 : x
  2. Step 2: Convert to fraction form
    35,410.40/53,144.40 = 34,258.40/x
  3. Step 3: Cross multiply
    35,410.40x = 53,144.40 × 34,258.40
  4. Step 4: Simplify right side
    35,410.40x = 1,820,642,112.96
  5. Step 5: Solve for x
    x = 1,820,642,112.96/35,410.40
  6. Step 6: Final answer
    x = 51,415.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.