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Finding the Fourth Proportional to 52,326, 72,216.42 and 29,970

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Solution

The fourth proportional to 52,326, 72,216.42 and 29,970 is: 41,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,326 : 72,216.42 = 29,970 : x
  2. Step 2: Convert to fraction form
    52,326/72,216.42 = 29,970/x
  3. Step 3: Cross multiply
    52,326x = 72,216.42 × 29,970
  4. Step 4: Simplify right side
    52,326x = 2,164,326,107.40
  5. Step 5: Solve for x
    x = 2,164,326,107.40/52,326
  6. Step 6: Final answer
    x = 41,362.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.