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Finding the Fourth Proportional to 38,428, 57,591.77 and 19,692.16

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Solution

The fourth proportional to 38,428, 57,591.77 and 19,692.16 is: 29,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428 : 57,591.77 = 19,692.16 : x
  2. Step 2: Convert to fraction form
    38,428/57,591.77 = 19,692.16/x
  3. Step 3: Cross multiply
    38,428x = 57,591.77 × 19,692.16
  4. Step 4: Simplify right side
    38,428x = 1,134,106,349.52
  5. Step 5: Solve for x
    x = 1,134,106,349.52/38,428
  6. Step 6: Final answer
    x = 29,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.