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Finding the Fourth Proportional to 35,311.17, 52,966.76 and 11,937

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Solution

The fourth proportional to 35,311.17, 52,966.76 and 11,937 is: 17,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,311.17 : 52,966.76 = 11,937 : x
  2. Step 2: Convert to fraction form
    35,311.17/52,966.76 = 11,937/x
  3. Step 3: Cross multiply
    35,311.17x = 52,966.76 × 11,937
  4. Step 4: Simplify right side
    35,311.17x = 632,264,154.44
  5. Step 5: Solve for x
    x = 632,264,154.44/35,311.17
  6. Step 6: Final answer
    x = 17,905.50

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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.