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Finding the Fourth Proportional to 64,742.94, 97,114.50 and 37,021.50

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Solution

The fourth proportional to 64,742.94, 97,114.50 and 37,021.50 is: 55,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742.94 : 97,114.50 = 37,021.50 : x
  2. Step 2: Convert to fraction form
    64,742.94/97,114.50 = 37,021.50/x
  3. Step 3: Cross multiply
    64,742.94x = 97,114.50 × 37,021.50
  4. Step 4: Simplify right side
    64,742.94x = 3,595,324,461.75
  5. Step 5: Solve for x
    x = 3,595,324,461.75/64,742.94
  6. Step 6: Final answer
    x = 55,532.30

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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.