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Finding the Fourth Proportional to 35,794.65, 53,674.67 and 13,289.81

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Solution

The fourth proportional to 35,794.65, 53,674.67 and 13,289.81 is: 19,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794.65 : 53,674.67 = 13,289.81 : x
  2. Step 2: Convert to fraction form
    35,794.65/53,674.67 = 13,289.81/x
  3. Step 3: Cross multiply
    35,794.65x = 53,674.67 × 13,289.81
  4. Step 4: Simplify right side
    35,794.65x = 713,326,166.11
  5. Step 5: Solve for x
    x = 713,326,166.11/35,794.65
  6. Step 6: Final answer
    x = 19,928.29

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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.