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Finding the Fourth Proportional to 32,709.66, 49,072.70 and 12,981.70

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Solution

The fourth proportional to 32,709.66, 49,072.70 and 12,981.70 is: 19,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.66 : 49,072.70 = 12,981.70 : x
  2. Step 2: Convert to fraction form
    32,709.66/49,072.70 = 12,981.70/x
  3. Step 3: Cross multiply
    32,709.66x = 49,072.70 × 12,981.70
  4. Step 4: Simplify right side
    32,709.66x = 637,047,069.59
  5. Step 5: Solve for x
    x = 637,047,069.59/32,709.66
  6. Step 6: Final answer
    x = 19,475.81

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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.