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Finding the Fourth Proportional to 53,142.64, 79,718.07 and 21,537.65

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Solution

The fourth proportional to 53,142.64, 79,718.07 and 21,537.65 is: 32,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,142.64 : 79,718.07 = 21,537.65 : x
  2. Step 2: Convert to fraction form
    53,142.64/79,718.07 = 21,537.65/x
  3. Step 3: Cross multiply
    53,142.64x = 79,718.07 × 21,537.65
  4. Step 4: Simplify right side
    53,142.64x = 1,716,940,170.40
  5. Step 5: Solve for x
    x = 1,716,940,170.40/53,142.64
  6. Step 6: Final answer
    x = 32,308.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.