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Finding the Fourth Proportional to 34,953.88, 52,439 and 11,580.32

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Solution

The fourth proportional to 34,953.88, 52,439 and 11,580.32 is: 17,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,953.88 : 52,439 = 11,580.32 : x
  2. Step 2: Convert to fraction form
    34,953.88/52,439 = 11,580.32/x
  3. Step 3: Cross multiply
    34,953.88x = 52,439 × 11,580.32
  4. Step 4: Simplify right side
    34,953.88x = 607,260,400.48
  5. Step 5: Solve for x
    x = 607,260,400.48/34,953.88
  6. Step 6: Final answer
    x = 17,373.19

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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.