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Finding the Fourth Proportional to 34,633.08, 51,944.40 and 9,670.50

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Solution

The fourth proportional to 34,633.08, 51,944.40 and 9,670.50 is: 14,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,633.08 : 51,944.40 = 9,670.50 : x
  2. Step 2: Convert to fraction form
    34,633.08/51,944.40 = 9,670.50/x
  3. Step 3: Cross multiply
    34,633.08x = 51,944.40 × 9,670.50
  4. Step 4: Simplify right side
    34,633.08x = 502,328,320.20
  5. Step 5: Solve for x
    x = 502,328,320.20/34,633.08
  6. Step 6: Final answer
    x = 14,504.29

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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.