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Finding the Fourth Proportional to 46,093.60, 68,986.80 and 42,407.20

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Solution

The fourth proportional to 46,093.60, 68,986.80 and 42,407.20 is: 63,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,093.60 : 68,986.80 = 42,407.20 : x
  2. Step 2: Convert to fraction form
    46,093.60/68,986.80 = 42,407.20/x
  3. Step 3: Cross multiply
    46,093.60x = 68,986.80 × 42,407.20
  4. Step 4: Simplify right side
    46,093.60x = 2,925,537,024.96
  5. Step 5: Solve for x
    x = 2,925,537,024.96/46,093.60
  6. Step 6: Final answer
    x = 63,469.48

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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.