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Finding the Fourth Proportional to 31,041.90, 42,814.95 and 19,701.66

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Solution

The fourth proportional to 31,041.90, 42,814.95 and 19,701.66 is: 27,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.90 : 42,814.95 = 19,701.66 : x
  2. Step 2: Convert to fraction form
    31,041.90/42,814.95 = 19,701.66/x
  3. Step 3: Cross multiply
    31,041.90x = 42,814.95 × 19,701.66
  4. Step 4: Simplify right side
    31,041.90x = 843,525,587.82
  5. Step 5: Solve for x
    x = 843,525,587.82/31,041.90
  6. Step 6: Final answer
    x = 27,173.77

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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.