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Finding the Fourth Proportional to 35,702.33, 53,571.83 and 15,725.81

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Solution

The fourth proportional to 35,702.33, 53,571.83 and 15,725.81 is: 23,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.33 : 53,571.83 = 15,725.81 : x
  2. Step 2: Convert to fraction form
    35,702.33/53,571.83 = 15,725.81/x
  3. Step 3: Cross multiply
    35,702.33x = 53,571.83 × 15,725.81
  4. Step 4: Simplify right side
    35,702.33x = 842,460,475.23
  5. Step 5: Solve for x
    x = 842,460,475.23/35,702.33
  6. Step 6: Final answer
    x = 23,596.80

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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.