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Finding the Fourth Proportional to 32,083.63, 48,130.63 and 9,891.81

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Solution

The fourth proportional to 32,083.63, 48,130.63 and 9,891.81 is: 14,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.63 : 48,130.63 = 9,891.81 : x
  2. Step 2: Convert to fraction form
    32,083.63/48,130.63 = 9,891.81/x
  3. Step 3: Cross multiply
    32,083.63x = 48,130.63 × 9,891.81
  4. Step 4: Simplify right side
    32,083.63x = 476,099,022.41
  5. Step 5: Solve for x
    x = 476,099,022.41/32,083.63
  6. Step 6: Final answer
    x = 14,839.31

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1.5x scale

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.