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Finding the Fourth Proportional to 46,046.40, 68,954.40 and 36,830.40

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Solution

The fourth proportional to 46,046.40, 68,954.40 and 36,830.40 is: 55,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,046.40 : 68,954.40 = 36,830.40 : x
  2. Step 2: Convert to fraction form
    46,046.40/68,954.40 = 36,830.40/x
  3. Step 3: Cross multiply
    46,046.40x = 68,954.40 × 36,830.40
  4. Step 4: Simplify right side
    46,046.40x = 2,539,618,133.76
  5. Step 5: Solve for x
    x = 2,539,618,133.76/46,046.40
  6. Step 6: Final answer
    x = 55,153.46

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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.