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Finding the Fourth Proportional to 77,683.59, 116,530.25 and 30,935.25

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Solution

The fourth proportional to 77,683.59, 116,530.25 and 30,935.25 is: 46,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,683.59 : 116,530.25 = 30,935.25 : x
  2. Step 2: Convert to fraction form
    77,683.59/116,530.25 = 30,935.25/x
  3. Step 3: Cross multiply
    77,683.59x = 116,530.25 × 30,935.25
  4. Step 4: Simplify right side
    77,683.59x = 3,604,892,261.64
  5. Step 5: Solve for x
    x = 3,604,892,261.64/77,683.59
  6. Step 6: Final answer
    x = 46,404.81

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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.