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Finding the Fourth Proportional to 42,996.36, 64,513.10 and 23,289

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Solution

The fourth proportional to 42,996.36, 64,513.10 and 23,289 is: 34,943.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,996.36 : 64,513.10 = 23,289 : x
  2. Step 2: Convert to fraction form
    42,996.36/64,513.10 = 23,289/x
  3. Step 3: Cross multiply
    42,996.36x = 64,513.10 × 23,289
  4. Step 4: Simplify right side
    42,996.36x = 1,502,445,585.90
  5. Step 5: Solve for x
    x = 1,502,445,585.90/42,996.36
  6. Step 6: Final answer
    x = 34,943.55

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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.