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Finding the Fourth Proportional to 77,406.60, 115,964.10 and 39,838.80

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Solution

The fourth proportional to 77,406.60, 115,964.10 and 39,838.80 is: 59,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406.60 : 115,964.10 = 39,838.80 : x
  2. Step 2: Convert to fraction form
    77,406.60/115,964.10 = 39,838.80/x
  3. Step 3: Cross multiply
    77,406.60x = 115,964.10 × 39,838.80
  4. Step 4: Simplify right side
    77,406.60x = 4,619,870,587.08
  5. Step 5: Solve for x
    x = 4,619,870,587.08/77,406.60
  6. Step 6: Final answer
    x = 59,683.16

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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.