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Finding the Fourth Proportional to 38,453, 53,068.38 and 21,689.24

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Solution

The fourth proportional to 38,453, 53,068.38 and 21,689.24 is: 29,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,453 : 53,068.38 = 21,689.24 : x
  2. Step 2: Convert to fraction form
    38,453/53,068.38 = 21,689.24/x
  3. Step 3: Cross multiply
    38,453x = 53,068.38 × 21,689.24
  4. Step 4: Simplify right side
    38,453x = 1,151,012,830.23
  5. Step 5: Solve for x
    x = 1,151,012,830.23/38,453
  6. Step 6: Final answer
    x = 29,932.98

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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.