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Finding the Fourth Proportional to 38,768, 53,499.84 and 21,104

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Solution

The fourth proportional to 38,768, 53,499.84 and 21,104 is: 29,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768 : 53,499.84 = 21,104 : x
  2. Step 2: Convert to fraction form
    38,768/53,499.84 = 21,104/x
  3. Step 3: Cross multiply
    38,768x = 53,499.84 × 21,104
  4. Step 4: Simplify right side
    38,768x = 1,129,060,623.36
  5. Step 5: Solve for x
    x = 1,129,060,623.36/38,768
  6. Step 6: Final answer
    x = 29,123.52

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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.