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Finding the Fourth Proportional to 53,464.64, 73,782.32 and 29,590.72

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Solution

The fourth proportional to 53,464.64, 73,782.32 and 29,590.72 is: 40,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,464.64 : 73,782.32 = 29,590.72 : x
  2. Step 2: Convert to fraction form
    53,464.64/73,782.32 = 29,590.72/x
  3. Step 3: Cross multiply
    53,464.64x = 73,782.32 × 29,590.72
  4. Step 4: Simplify right side
    53,464.64x = 2,183,271,972.07
  5. Step 5: Solve for x
    x = 2,183,271,972.07/53,464.64
  6. Step 6: Final answer
    x = 40,835.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.