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Finding the Fourth Proportional to 35,322.07, 52,982.97 and 9,026.77

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Solution

The fourth proportional to 35,322.07, 52,982.97 and 9,026.77 is: 13,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322.07 : 52,982.97 = 9,026.77 : x
  2. Step 2: Convert to fraction form
    35,322.07/52,982.97 = 9,026.77/x
  3. Step 3: Cross multiply
    35,322.07x = 52,982.97 × 9,026.77
  4. Step 4: Simplify right side
    35,322.07x = 478,265,084.11
  5. Step 5: Solve for x
    x = 478,265,084.11/35,322.07
  6. Step 6: Final answer
    x = 13,540.12

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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.