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Finding the Fourth Proportional to 30,692.66, 42,315.09 and 20,064.02

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Solution

The fourth proportional to 30,692.66, 42,315.09 and 20,064.02 is: 27,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.66 : 42,315.09 = 20,064.02 : x
  2. Step 2: Convert to fraction form
    30,692.66/42,315.09 = 20,064.02/x
  3. Step 3: Cross multiply
    30,692.66x = 42,315.09 × 20,064.02
  4. Step 4: Simplify right side
    30,692.66x = 849,010,812.06
  5. Step 5: Solve for x
    x = 849,010,812.06/30,692.66
  6. Step 6: Final answer
    x = 27,661.69

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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.