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Finding the Fourth Proportional to 38,676.56, 53,374.74 and 21,909.56

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Solution

The fourth proportional to 38,676.56, 53,374.74 and 21,909.56 is: 30,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676.56 : 53,374.74 = 21,909.56 : x
  2. Step 2: Convert to fraction form
    38,676.56/53,374.74 = 21,909.56/x
  3. Step 3: Cross multiply
    38,676.56x = 53,374.74 × 21,909.56
  4. Step 4: Simplify right side
    38,676.56x = 1,169,417,068.51
  5. Step 5: Solve for x
    x = 1,169,417,068.51/38,676.56
  6. Step 6: Final answer
    x = 30,235.81

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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.