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Finding the Fourth Proportional to 30,762.55, 46,145.58 and 9,703.27

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Solution

The fourth proportional to 30,762.55, 46,145.58 and 9,703.27 is: 14,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.55 : 46,145.58 = 9,703.27 : x
  2. Step 2: Convert to fraction form
    30,762.55/46,145.58 = 9,703.27/x
  3. Step 3: Cross multiply
    30,762.55x = 46,145.58 × 9,703.27
  4. Step 4: Simplify right side
    30,762.55x = 447,763,022.05
  5. Step 5: Solve for x
    x = 447,763,022.05/30,762.55
  6. Step 6: Final answer
    x = 14,555.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.