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Finding the Fourth Proportional to 31,109.50, 42,929.67 and 16,962.22

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Solution

The fourth proportional to 31,109.50, 42,929.67 and 16,962.22 is: 23,407.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109.50 : 42,929.67 = 16,962.22 : x
  2. Step 2: Convert to fraction form
    31,109.50/42,929.67 = 16,962.22/x
  3. Step 3: Cross multiply
    31,109.50x = 42,929.67 × 16,962.22
  4. Step 4: Simplify right side
    31,109.50x = 728,182,507.07
  5. Step 5: Solve for x
    x = 728,182,507.07/31,109.50
  6. Step 6: Final answer
    x = 23,407.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.