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Finding the Fourth Proportional to 35,805.13, 53,703.48 and 9,511.90

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Solution

The fourth proportional to 35,805.13, 53,703.48 and 9,511.90 is: 14,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805.13 : 53,703.48 = 9,511.90 : x
  2. Step 2: Convert to fraction form
    35,805.13/53,703.48 = 9,511.90/x
  3. Step 3: Cross multiply
    35,805.13x = 53,703.48 × 9,511.90
  4. Step 4: Simplify right side
    35,805.13x = 510,822,131.41
  5. Step 5: Solve for x
    x = 510,822,131.41/35,805.13
  6. Step 6: Final answer
    x = 14,266.73

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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.