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Finding the Fourth Proportional to 29,533.86, 44,284.32 and 9,807.12

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Solution

The fourth proportional to 29,533.86, 44,284.32 and 9,807.12 is: 14,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,533.86 : 44,284.32 = 9,807.12 : x
  2. Step 2: Convert to fraction form
    29,533.86/44,284.32 = 9,807.12/x
  3. Step 3: Cross multiply
    29,533.86x = 44,284.32 × 9,807.12
  4. Step 4: Simplify right side
    29,533.86x = 434,301,640.36
  5. Step 5: Solve for x
    x = 434,301,640.36/29,533.86
  6. Step 6: Final answer
    x = 14,705.21

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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.