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Finding the Fourth Proportional to 39,794.40, 59,698.80 and 16,423.20

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Solution

The fourth proportional to 39,794.40, 59,698.80 and 16,423.20 is: 24,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,794.40 : 59,698.80 = 16,423.20 : x
  2. Step 2: Convert to fraction form
    39,794.40/59,698.80 = 16,423.20/x
  3. Step 3: Cross multiply
    39,794.40x = 59,698.80 × 16,423.20
  4. Step 4: Simplify right side
    39,794.40x = 980,445,332.16
  5. Step 5: Solve for x
    x = 980,445,332.16/39,794.40
  6. Step 6: Final answer
    x = 24,637.77

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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.