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Finding the Fourth Proportional to 46,890.80, 70,335.89 and 11,830.49

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Solution

The fourth proportional to 46,890.80, 70,335.89 and 11,830.49 is: 17,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,890.80 : 70,335.89 = 11,830.49 : x
  2. Step 2: Convert to fraction form
    46,890.80/70,335.89 = 11,830.49/x
  3. Step 3: Cross multiply
    46,890.80x = 70,335.89 × 11,830.49
  4. Step 4: Simplify right side
    46,890.80x = 832,107,632.45
  5. Step 5: Solve for x
    x = 832,107,632.45/46,890.80
  6. Step 6: Final answer
    x = 17,745.65

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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.