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Finding the Fourth Proportional to 70,776.16, 106,177.28 and 23,393.60

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Solution

The fourth proportional to 70,776.16, 106,177.28 and 23,393.60 is: 35,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,776.16 : 106,177.28 = 23,393.60 : x
  2. Step 2: Convert to fraction form
    70,776.16/106,177.28 = 23,393.60/x
  3. Step 3: Cross multiply
    70,776.16x = 106,177.28 × 23,393.60
  4. Step 4: Simplify right side
    70,776.16x = 2,483,868,817.41
  5. Step 5: Solve for x
    x = 2,483,868,817.41/70,776.16
  6. Step 6: Final answer
    x = 35,094.71

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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.