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Finding the Fourth Proportional to 75,692.30, 113,537.88 and 19,527.63

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Solution

The fourth proportional to 75,692.30, 113,537.88 and 19,527.63 is: 29,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,692.30 : 113,537.88 = 19,527.63 : x
  2. Step 2: Convert to fraction form
    75,692.30/113,537.88 = 19,527.63/x
  3. Step 3: Cross multiply
    75,692.30x = 113,537.88 × 19,527.63
  4. Step 4: Simplify right side
    75,692.30x = 2,217,125,869.59
  5. Step 5: Solve for x
    x = 2,217,125,869.59/75,692.30
  6. Step 6: Final answer
    x = 29,291.30

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1.5x scale

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.