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Finding the Fourth Proportional to 29,477.50, 40,678.89 and 16,048.64

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Solution

The fourth proportional to 29,477.50, 40,678.89 and 16,048.64 is: 22,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,477.50 : 40,678.89 = 16,048.64 : x
  2. Step 2: Convert to fraction form
    29,477.50/40,678.89 = 16,048.64/x
  3. Step 3: Cross multiply
    29,477.50x = 40,678.89 × 16,048.64
  4. Step 4: Simplify right side
    29,477.50x = 652,840,861.21
  5. Step 5: Solve for x
    x = 652,840,861.21/29,477.50
  6. Step 6: Final answer
    x = 22,147.09

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1.5x scale

Why These Related Problems?

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