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Finding the Fourth Proportional to 29,477.28, 40,678.74 and 16,048.65

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Solution

The fourth proportional to 29,477.28, 40,678.74 and 16,048.65 is: 22,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,477.28 : 40,678.74 = 16,048.65 : x
  2. Step 2: Convert to fraction form
    29,477.28/40,678.74 = 16,048.65/x
  3. Step 3: Cross multiply
    29,477.28x = 40,678.74 × 16,048.65
  4. Step 4: Simplify right side
    29,477.28x = 652,838,860.70
  5. Step 5: Solve for x
    x = 652,838,860.70/29,477.28
  6. Step 6: Final answer
    x = 22,147.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.