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Finding the Fourth Proportional to 32,007.70, 48,011.55 and 14,511.70

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Solution

The fourth proportional to 32,007.70, 48,011.55 and 14,511.70 is: 21,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.70 : 48,011.55 = 14,511.70 : x
  2. Step 2: Convert to fraction form
    32,007.70/48,011.55 = 14,511.70/x
  3. Step 3: Cross multiply
    32,007.70x = 48,011.55 × 14,511.70
  4. Step 4: Simplify right side
    32,007.70x = 696,729,210.14
  5. Step 5: Solve for x
    x = 696,729,210.14/32,007.70
  6. Step 6: Final answer
    x = 21,767.55

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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.