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Finding the Fourth Proportional to 31,051.22, 42,851.07 and 16,904.06

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Solution

The fourth proportional to 31,051.22, 42,851.07 and 16,904.06 is: 23,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.22 : 42,851.07 = 16,904.06 : x
  2. Step 2: Convert to fraction form
    31,051.22/42,851.07 = 16,904.06/x
  3. Step 3: Cross multiply
    31,051.22x = 42,851.07 × 16,904.06
  4. Step 4: Simplify right side
    31,051.22x = 724,357,058.34
  5. Step 5: Solve for x
    x = 724,357,058.34/31,051.22
  6. Step 6: Final answer
    x = 23,327.81

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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.