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Finding the Fourth Proportional to 38,828.68, 53,568.34 and 21,829

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Solution

The fourth proportional to 38,828.68, 53,568.34 and 21,829 is: 30,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,828.68 : 53,568.34 = 21,829 : x
  2. Step 2: Convert to fraction form
    38,828.68/53,568.34 = 21,829/x
  3. Step 3: Cross multiply
    38,828.68x = 53,568.34 × 21,829
  4. Step 4: Simplify right side
    38,828.68x = 1,169,343,293.86
  5. Step 5: Solve for x
    x = 1,169,343,293.86/38,828.68
  6. Step 6: Final answer
    x = 30,115.45

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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.