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Finding the Fourth Proportional to 38,406.47, 53,000.78 and 21,410.51

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Solution

The fourth proportional to 38,406.47, 53,000.78 and 21,410.51 is: 29,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.47 : 53,000.78 = 21,410.51 : x
  2. Step 2: Convert to fraction form
    38,406.47/53,000.78 = 21,410.51/x
  3. Step 3: Cross multiply
    38,406.47x = 53,000.78 × 21,410.51
  4. Step 4: Simplify right side
    38,406.47x = 1,134,773,358.14
  5. Step 5: Solve for x
    x = 1,134,773,358.14/38,406.47
  6. Step 6: Final answer
    x = 29,546.42

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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.