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Finding the Fourth Proportional to 90,643.44, 135,951.12 and 46,302.96

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Solution

The fourth proportional to 90,643.44, 135,951.12 and 46,302.96 is: 69,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,643.44 : 135,951.12 = 46,302.96 : x
  2. Step 2: Convert to fraction form
    90,643.44/135,951.12 = 46,302.96/x
  3. Step 3: Cross multiply
    90,643.44x = 135,951.12 × 46,302.96
  4. Step 4: Simplify right side
    90,643.44x = 6,294,939,271.32
  5. Step 5: Solve for x
    x = 6,294,939,271.32/90,643.44
  6. Step 6: Final answer
    x = 69,447.27

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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.