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Finding the Fourth Proportional to 72,032.65, 108,048.94 and 19,442.12

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Solution

The fourth proportional to 72,032.65, 108,048.94 and 19,442.12 is: 29,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,032.65 : 108,048.94 = 19,442.12 : x
  2. Step 2: Convert to fraction form
    72,032.65/108,048.94 = 19,442.12/x
  3. Step 3: Cross multiply
    72,032.65x = 108,048.94 × 19,442.12
  4. Step 4: Simplify right side
    72,032.65x = 2,100,699,868.50
  5. Step 5: Solve for x
    x = 2,100,699,868.50/72,032.65
  6. Step 6: Final answer
    x = 29,163.16

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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.