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Finding the Fourth Proportional to 29,825.64, 44,705.65 and 12,285.90

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Solution

The fourth proportional to 29,825.64, 44,705.65 and 12,285.90 is: 18,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,825.64 : 44,705.65 = 12,285.90 : x
  2. Step 2: Convert to fraction form
    29,825.64/44,705.65 = 12,285.90/x
  3. Step 3: Cross multiply
    29,825.64x = 44,705.65 × 12,285.90
  4. Step 4: Simplify right side
    29,825.64x = 549,248,860.38
  5. Step 5: Solve for x
    x = 549,248,860.38/29,825.64
  6. Step 6: Final answer
    x = 18,415.33

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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.