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Finding the Fourth Proportional to 31,889.68, 44,015.34 and 19,312

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Solution

The fourth proportional to 31,889.68, 44,015.34 and 19,312 is: 26,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.68 : 44,015.34 = 19,312 : x
  2. Step 2: Convert to fraction form
    31,889.68/44,015.34 = 19,312/x
  3. Step 3: Cross multiply
    31,889.68x = 44,015.34 × 19,312
  4. Step 4: Simplify right side
    31,889.68x = 850,024,246.08
  5. Step 5: Solve for x
    x = 850,024,246.08/31,889.68
  6. Step 6: Final answer
    x = 26,655.15

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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.