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Finding the Fourth Proportional to 43,229.40, 64,389.47 and 41,207

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Solution

The fourth proportional to 43,229.40, 64,389.47 and 41,207 is: 61,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,229.40 : 64,389.47 = 41,207 : x
  2. Step 2: Convert to fraction form
    43,229.40/64,389.47 = 41,207/x
  3. Step 3: Cross multiply
    43,229.40x = 64,389.47 × 41,207
  4. Step 4: Simplify right side
    43,229.40x = 2,653,296,890.29
  5. Step 5: Solve for x
    x = 2,653,296,890.29/43,229.40
  6. Step 6: Final answer
    x = 61,377.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.