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Finding the Fourth Proportional to 34,705.16, 52,066.62 and 9,745.28

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Solution

The fourth proportional to 34,705.16, 52,066.62 and 9,745.28 is: 14,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,705.16 : 52,066.62 = 9,745.28 : x
  2. Step 2: Convert to fraction form
    34,705.16/52,066.62 = 9,745.28/x
  3. Step 3: Cross multiply
    34,705.16x = 52,066.62 × 9,745.28
  4. Step 4: Simplify right side
    34,705.16x = 507,403,790.55
  5. Step 5: Solve for x
    x = 507,403,790.55/34,705.16
  6. Step 6: Final answer
    x = 14,620.41

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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.