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Finding the Fourth Proportional to 32,527.84, 48,791.77 and 9,154.28

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Solution

The fourth proportional to 32,527.84, 48,791.77 and 9,154.28 is: 13,731.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,527.84 : 48,791.77 = 9,154.28 : x
  2. Step 2: Convert to fraction form
    32,527.84/48,791.77 = 9,154.28/x
  3. Step 3: Cross multiply
    32,527.84x = 48,791.77 × 9,154.28
  4. Step 4: Simplify right side
    32,527.84x = 446,653,280.32
  5. Step 5: Solve for x
    x = 446,653,280.32/32,527.84
  6. Step 6: Final answer
    x = 13,731.42

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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.