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Finding the Fourth Proportional to 35,325.72, 52,982.91 and 9,029.07

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Solution

The fourth proportional to 35,325.72, 52,982.91 and 9,029.07 is: 13,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,325.72 : 52,982.91 = 9,029.07 : x
  2. Step 2: Convert to fraction form
    35,325.72/52,982.91 = 9,029.07/x
  3. Step 3: Cross multiply
    35,325.72x = 52,982.91 × 9,029.07
  4. Step 4: Simplify right side
    35,325.72x = 478,386,403.19
  5. Step 5: Solve for x
    x = 478,386,403.19/35,325.72
  6. Step 6: Final answer
    x = 13,542.16

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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.