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Finding the Fourth Proportional to 32,477.54, 48,692.52 and 10,278.50

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Solution

The fourth proportional to 32,477.54, 48,692.52 and 10,278.50 is: 15,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.54 : 48,692.52 = 10,278.50 : x
  2. Step 2: Convert to fraction form
    32,477.54/48,692.52 = 10,278.50/x
  3. Step 3: Cross multiply
    32,477.54x = 48,692.52 × 10,278.50
  4. Step 4: Simplify right side
    32,477.54x = 500,486,066.82
  5. Step 5: Solve for x
    x = 500,486,066.82/32,477.54
  6. Step 6: Final answer
    x = 15,410.22

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