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Finding the Fourth Proportional to 64,743.94, 97,116 and 37,022.50

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Solution

The fourth proportional to 64,743.94, 97,116 and 37,022.50 is: 55,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,743.94 : 97,116 = 37,022.50 : x
  2. Step 2: Convert to fraction form
    64,743.94/97,116 = 37,022.50/x
  3. Step 3: Cross multiply
    64,743.94x = 97,116 × 37,022.50
  4. Step 4: Simplify right side
    64,743.94x = 3,595,477,110
  5. Step 5: Solve for x
    x = 3,595,477,110/64,743.94
  6. Step 6: Final answer
    x = 55,533.80

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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.