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Finding the Fourth Proportional to 30,692.64, 46,082.06 and 15,710.44

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Solution

The fourth proportional to 30,692.64, 46,082.06 and 15,710.44 is: 23,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.64 : 46,082.06 = 15,710.44 : x
  2. Step 2: Convert to fraction form
    30,692.64/46,082.06 = 15,710.44/x
  3. Step 3: Cross multiply
    30,692.64x = 46,082.06 × 15,710.44
  4. Step 4: Simplify right side
    30,692.64x = 723,969,438.71
  5. Step 5: Solve for x
    x = 723,969,438.71/30,692.64
  6. Step 6: Final answer
    x = 23,587.72

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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.