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Finding the Fourth Proportional to 38,417.12, 53,011.74 and 21,419.76

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Solution

The fourth proportional to 38,417.12, 53,011.74 and 21,419.76 is: 29,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.12 : 53,011.74 = 21,419.76 : x
  2. Step 2: Convert to fraction form
    38,417.12/53,011.74 = 21,419.76/x
  3. Step 3: Cross multiply
    38,417.12x = 53,011.74 × 21,419.76
  4. Step 4: Simplify right side
    38,417.12x = 1,135,498,747.98
  5. Step 5: Solve for x
    x = 1,135,498,747.98/38,417.12
  6. Step 6: Final answer
    x = 29,557.10

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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.