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Finding the Fourth Proportional to 102,980.16, 154,472.94 and 32,859.41

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Solution

The fourth proportional to 102,980.16, 154,472.94 and 32,859.41 is: 49,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980.16 : 154,472.94 = 32,859.41 : x
  2. Step 2: Convert to fraction form
    102,980.16/154,472.94 = 32,859.41/x
  3. Step 3: Cross multiply
    102,980.16x = 154,472.94 × 32,859.41
  4. Step 4: Simplify right side
    102,980.16x = 5,075,888,897.00
  5. Step 5: Solve for x
    x = 5,075,888,897.00/102,980.16
  6. Step 6: Final answer
    x = 49,289.97

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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.