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Finding the Fourth Proportional to 35,691.33, 53,537 and 14,900.25

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Solution

The fourth proportional to 35,691.33, 53,537 and 14,900.25 is: 22,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,691.33 : 53,537 = 14,900.25 : x
  2. Step 2: Convert to fraction form
    35,691.33/53,537 = 14,900.25/x
  3. Step 3: Cross multiply
    35,691.33x = 53,537 × 14,900.25
  4. Step 4: Simplify right side
    35,691.33x = 797,714,684.25
  5. Step 5: Solve for x
    x = 797,714,684.25/35,691.33
  6. Step 6: Final answer
    x = 22,350.38

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