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Finding the Fourth Proportional to 34,937.88, 52,415.01 and 11,564.31

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Solution

The fourth proportional to 34,937.88, 52,415.01 and 11,564.31 is: 17,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,937.88 : 52,415.01 = 11,564.31 : x
  2. Step 2: Convert to fraction form
    34,937.88/52,415.01 = 11,564.31/x
  3. Step 3: Cross multiply
    34,937.88x = 52,415.01 × 11,564.31
  4. Step 4: Simplify right side
    34,937.88x = 606,143,424.29
  5. Step 5: Solve for x
    x = 606,143,424.29/34,937.88
  6. Step 6: Final answer
    x = 17,349.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.