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Finding the Fourth Proportional to 32,464.55, 48,692.57 and 10,278.05

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Solution

The fourth proportional to 32,464.55, 48,692.57 and 10,278.05 is: 15,415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.55 : 48,692.57 = 10,278.05 : x
  2. Step 2: Convert to fraction form
    32,464.55/48,692.57 = 10,278.05/x
  3. Step 3: Cross multiply
    32,464.55x = 48,692.57 × 10,278.05
  4. Step 4: Simplify right side
    32,464.55x = 500,464,374.24
  5. Step 5: Solve for x
    x = 500,464,374.24/32,464.55
  6. Step 6: Final answer
    x = 15,415.72

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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.