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Finding the Fourth Proportional to 52,762.32, 79,142.84 and 15,826

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Solution

The fourth proportional to 52,762.32, 79,142.84 and 15,826 is: 23,738.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,762.32 : 79,142.84 = 15,826 : x
  2. Step 2: Convert to fraction form
    52,762.32/79,142.84 = 15,826/x
  3. Step 3: Cross multiply
    52,762.32x = 79,142.84 × 15,826
  4. Step 4: Simplify right side
    52,762.32x = 1,252,514,585.84
  5. Step 5: Solve for x
    x = 1,252,514,585.84/52,762.32
  6. Step 6: Final answer
    x = 23,738.81

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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.