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Finding the Fourth Proportional to 46,176, 63,729.12 and 26,037

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Solution

The fourth proportional to 46,176, 63,729.12 and 26,037 is: 35,934.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,176 : 63,729.12 = 26,037 : x
  2. Step 2: Convert to fraction form
    46,176/63,729.12 = 26,037/x
  3. Step 3: Cross multiply
    46,176x = 63,729.12 × 26,037
  4. Step 4: Simplify right side
    46,176x = 1,659,315,097.44
  5. Step 5: Solve for x
    x = 1,659,315,097.44/46,176
  6. Step 6: Final answer
    x = 35,934.58

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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.