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Finding the Fourth Proportional to 46,205.66, 69,297.88 and 12,928.08

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Solution

The fourth proportional to 46,205.66, 69,297.88 and 12,928.08 is: 19,389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,205.66 : 69,297.88 = 12,928.08 : x
  2. Step 2: Convert to fraction form
    46,205.66/69,297.88 = 12,928.08/x
  3. Step 3: Cross multiply
    46,205.66x = 69,297.88 × 12,928.08
  4. Step 4: Simplify right side
    46,205.66x = 895,888,536.47
  5. Step 5: Solve for x
    x = 895,888,536.47/46,205.66
  6. Step 6: Final answer
    x = 19,389.15

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Why These Related Problems?

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