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Finding the Fourth Proportional to 77,808.40, 116,770.20 and 31,094.80

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Solution

The fourth proportional to 77,808.40, 116,770.20 and 31,094.80 is: 46,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,808.40 : 116,770.20 = 31,094.80 : x
  2. Step 2: Convert to fraction form
    77,808.40/116,770.20 = 31,094.80/x
  3. Step 3: Cross multiply
    77,808.40x = 116,770.20 × 31,094.80
  4. Step 4: Simplify right side
    77,808.40x = 3,630,946,014.96
  5. Step 5: Solve for x
    x = 3,630,946,014.96/77,808.40
  6. Step 6: Final answer
    x = 46,665.22

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1.5x scale

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.