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Finding the Fourth Proportional to 34,206.24, 47,204.16 and 19,099.16

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Solution

The fourth proportional to 34,206.24, 47,204.16 and 19,099.16 is: 26,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,206.24 : 47,204.16 = 19,099.16 : x
  2. Step 2: Convert to fraction form
    34,206.24/47,204.16 = 19,099.16/x
  3. Step 3: Cross multiply
    34,206.24x = 47,204.16 × 19,099.16
  4. Step 4: Simplify right side
    34,206.24x = 901,559,804.51
  5. Step 5: Solve for x
    x = 901,559,804.51/34,206.24
  6. Step 6: Final answer
    x = 26,356.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.