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Finding the Fourth Proportional to 35,335.94, 53,010.66 and 11,650.31

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Solution

The fourth proportional to 35,335.94, 53,010.66 and 11,650.31 is: 17,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,335.94 : 53,010.66 = 11,650.31 : x
  2. Step 2: Convert to fraction form
    35,335.94/53,010.66 = 11,650.31/x
  3. Step 3: Cross multiply
    35,335.94x = 53,010.66 × 11,650.31
  4. Step 4: Simplify right side
    35,335.94x = 617,590,622.30
  5. Step 5: Solve for x
    x = 617,590,622.30/35,335.94
  6. Step 6: Final answer
    x = 17,477.69

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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.