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Finding the Fourth Proportional to 31,019.90, 42,810.93 and 29,119.64

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Solution

The fourth proportional to 31,019.90, 42,810.93 and 29,119.64 is: 40,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.90 : 42,810.93 = 29,119.64 : x
  2. Step 2: Convert to fraction form
    31,019.90/42,810.93 = 29,119.64/x
  3. Step 3: Cross multiply
    31,019.90x = 42,810.93 × 29,119.64
  4. Step 4: Simplify right side
    31,019.90x = 1,246,638,655.61
  5. Step 5: Solve for x
    x = 1,246,638,655.61/31,019.90
  6. Step 6: Final answer
    x = 40,188.36

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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.