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Finding the Fourth Proportional to 64,464.64, 88,956.74 and 35,782.06

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Solution

The fourth proportional to 64,464.64, 88,956.74 and 35,782.06 is: 49,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,464.64 : 88,956.74 = 35,782.06 : x
  2. Step 2: Convert to fraction form
    64,464.64/88,956.74 = 35,782.06/x
  3. Step 3: Cross multiply
    64,464.64x = 88,956.74 × 35,782.06
  4. Step 4: Simplify right side
    64,464.64x = 3,183,055,408.08
  5. Step 5: Solve for x
    x = 3,183,055,408.08/64,464.64
  6. Step 6: Final answer
    x = 49,376.77

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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.