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Finding the Fourth Proportional to 76,548, 114,828.48 and 21,144

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Solution

The fourth proportional to 76,548, 114,828.48 and 21,144 is: 31,717.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,548 : 114,828.48 = 21,144 : x
  2. Step 2: Convert to fraction form
    76,548/114,828.48 = 21,144/x
  3. Step 3: Cross multiply
    76,548x = 114,828.48 × 21,144
  4. Step 4: Simplify right side
    76,548x = 2,427,933,381.12
  5. Step 5: Solve for x
    x = 2,427,933,381.12/76,548
  6. Step 6: Final answer
    x = 31,717.79

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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.