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Finding the Fourth Proportional to 30,756.63, 46,135.05 and 9,698.66

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Solution

The fourth proportional to 30,756.63, 46,135.05 and 9,698.66 is: 14,548.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.63 : 46,135.05 = 9,698.66 : x
  2. Step 2: Convert to fraction form
    30,756.63/46,135.05 = 9,698.66/x
  3. Step 3: Cross multiply
    30,756.63x = 46,135.05 × 9,698.66
  4. Step 4: Simplify right side
    30,756.63x = 447,448,164.03
  5. Step 5: Solve for x
    x = 447,448,164.03/30,756.63
  6. Step 6: Final answer
    x = 14,548.02

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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.