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Finding the Fourth Proportional to 76,230.98, 105,202.66 and 46,015.92

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Solution

The fourth proportional to 76,230.98, 105,202.66 and 46,015.92 is: 63,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,230.98 : 105,202.66 = 46,015.92 : x
  2. Step 2: Convert to fraction form
    76,230.98/105,202.66 = 46,015.92/x
  3. Step 3: Cross multiply
    76,230.98x = 105,202.66 × 46,015.92
  4. Step 4: Simplify right side
    76,230.98x = 4,840,997,186.35
  5. Step 5: Solve for x
    x = 4,840,997,186.35/76,230.98
  6. Step 6: Final answer
    x = 63,504.33

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1.5x scale

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.