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Finding the Fourth Proportional to 46,940.58, 64,778.67 and 28,074.06

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Solution

The fourth proportional to 46,940.58, 64,778.67 and 28,074.06 is: 38,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,940.58 : 64,778.67 = 28,074.06 : x
  2. Step 2: Convert to fraction form
    46,940.58/64,778.67 = 28,074.06/x
  3. Step 3: Cross multiply
    46,940.58x = 64,778.67 × 28,074.06
  4. Step 4: Simplify right side
    46,940.58x = 1,818,600,268.30
  5. Step 5: Solve for x
    x = 1,818,600,268.30/46,940.58
  6. Step 6: Final answer
    x = 38,742.60

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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.