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Finding the Fourth Proportional to 31,064.76, 42,871.14 and 19,140.84

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Solution

The fourth proportional to 31,064.76, 42,871.14 and 19,140.84 is: 26,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.76 : 42,871.14 = 19,140.84 : x
  2. Step 2: Convert to fraction form
    31,064.76/42,871.14 = 19,140.84/x
  3. Step 3: Cross multiply
    31,064.76x = 42,871.14 × 19,140.84
  4. Step 4: Simplify right side
    31,064.76x = 820,589,631.36
  5. Step 5: Solve for x
    x = 820,589,631.36/31,064.76
  6. Step 6: Final answer
    x = 26,415.45

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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.