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Finding the Fourth Proportional to 32,007.13, 48,011.57 and 8,633.50

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Solution

The fourth proportional to 32,007.13, 48,011.57 and 8,633.50 is: 12,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.13 : 48,011.57 = 8,633.50 : x
  2. Step 2: Convert to fraction form
    32,007.13/48,011.57 = 8,633.50/x
  3. Step 3: Cross multiply
    32,007.13x = 48,011.57 × 8,633.50
  4. Step 4: Simplify right side
    32,007.13x = 414,507,911.18
  5. Step 5: Solve for x
    x = 414,507,911.18/32,007.13
  6. Step 6: Final answer
    x = 12,950.49

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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.