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Finding the Fourth Proportional to 23,203.61, 34,834.35 and 23,097.00

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Solution

The fourth proportional to 23,203.61, 34,834.35 and 23,097.00 is: 34,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.61 : 34,834.35 = 23,097.00 : x
  2. Step 2: Convert to fraction form
    23,203.61/34,834.35 = 23,097.00/x
  3. Step 3: Cross multiply
    23,203.61x = 34,834.35 × 23,097.00
  4. Step 4: Simplify right side
    23,203.61x = 804,569,003.25
  5. Step 5: Solve for x
    x = 804,569,003.25/23,203.61
  6. Step 6: Final answer
    x = 34,674.30

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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.