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Finding the Fourth Proportional to 29,312.25, 43,969.59 and 8,535.75

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Solution

The fourth proportional to 29,312.25, 43,969.59 and 8,535.75 is: 12,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312.25 : 43,969.59 = 8,535.75 : x
  2. Step 2: Convert to fraction form
    29,312.25/43,969.59 = 8,535.75/x
  3. Step 3: Cross multiply
    29,312.25x = 43,969.59 × 8,535.75
  4. Step 4: Simplify right side
    29,312.25x = 375,313,427.84
  5. Step 5: Solve for x
    x = 375,313,427.84/29,312.25
  6. Step 6: Final answer
    x = 12,803.98

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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.