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Finding the Fourth Proportional to 30,725.88, 46,045.95 and 23,223.27

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Solution

The fourth proportional to 30,725.88, 46,045.95 and 23,223.27 is: 34,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.88 : 46,045.95 = 23,223.27 : x
  2. Step 2: Convert to fraction form
    30,725.88/46,045.95 = 23,223.27/x
  3. Step 3: Cross multiply
    30,725.88x = 46,045.95 × 23,223.27
  4. Step 4: Simplify right side
    30,725.88x = 1,069,337,529.26
  5. Step 5: Solve for x
    x = 1,069,337,529.26/30,725.88
  6. Step 6: Final answer
    x = 34,802.50

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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.