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Finding the Fourth Proportional to 53,797.32, 74,235.84 and 29,924.16

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Solution

The fourth proportional to 53,797.32, 74,235.84 and 29,924.16 is: 41,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,797.32 : 74,235.84 = 29,924.16 : x
  2. Step 2: Convert to fraction form
    53,797.32/74,235.84 = 29,924.16/x
  3. Step 3: Cross multiply
    53,797.32x = 74,235.84 × 29,924.16
  4. Step 4: Simplify right side
    53,797.32x = 2,221,445,153.89
  5. Step 5: Solve for x
    x = 2,221,445,153.89/53,797.32
  6. Step 6: Final answer
    x = 41,292.86

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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.