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Finding the Fourth Proportional to 34,013.72, 46,938.63 and 18,906

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Solution

The fourth proportional to 34,013.72, 46,938.63 and 18,906 is: 26,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,013.72 : 46,938.63 = 18,906 : x
  2. Step 2: Convert to fraction form
    34,013.72/46,938.63 = 18,906/x
  3. Step 3: Cross multiply
    34,013.72x = 46,938.63 × 18,906
  4. Step 4: Simplify right side
    34,013.72x = 887,421,738.78
  5. Step 5: Solve for x
    x = 887,421,738.78/34,013.72
  6. Step 6: Final answer
    x = 26,090.11

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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.