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Finding the Fourth Proportional to 38,830.66, 53,529.84 and 27,464.74

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Solution

The fourth proportional to 38,830.66, 53,529.84 and 27,464.74 is: 37,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830.66 : 53,529.84 = 27,464.74 : x
  2. Step 2: Convert to fraction form
    38,830.66/53,529.84 = 27,464.74/x
  3. Step 3: Cross multiply
    38,830.66x = 53,529.84 × 27,464.74
  4. Step 4: Simplify right side
    38,830.66x = 1,470,183,137.84
  5. Step 5: Solve for x
    x = 1,470,183,137.84/38,830.66
  6. Step 6: Final answer
    x = 37,861.40

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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.