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Finding the Fourth Proportional to 29,302.16, 43,955.94 and 9,580.82

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Solution

The fourth proportional to 29,302.16, 43,955.94 and 9,580.82 is: 14,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,302.16 : 43,955.94 = 9,580.82 : x
  2. Step 2: Convert to fraction form
    29,302.16/43,955.94 = 9,580.82/x
  3. Step 3: Cross multiply
    29,302.16x = 43,955.94 × 9,580.82
  4. Step 4: Simplify right side
    29,302.16x = 421,133,949.07
  5. Step 5: Solve for x
    x = 421,133,949.07/29,302.16
  6. Step 6: Final answer
    x = 14,372.11

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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.