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Finding the Fourth Proportional to 35,265, 52,881.30 and 13,073.16

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Solution

The fourth proportional to 35,265, 52,881.30 and 13,073.16 is: 19,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,265 : 52,881.30 = 13,073.16 : x
  2. Step 2: Convert to fraction form
    35,265/52,881.30 = 13,073.16/x
  3. Step 3: Cross multiply
    35,265x = 52,881.30 × 13,073.16
  4. Step 4: Simplify right side
    35,265x = 691,325,695.91
  5. Step 5: Solve for x
    x = 691,325,695.91/35,265
  6. Step 6: Final answer
    x = 19,603.73

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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.