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Finding the Fourth Proportional to 64,580.40, 96,775.83 and 45,896.40

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Solution

The fourth proportional to 64,580.40, 96,775.83 and 45,896.40 is: 68,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,580.40 : 96,775.83 = 45,896.40 : x
  2. Step 2: Convert to fraction form
    64,580.40/96,775.83 = 45,896.40/x
  3. Step 3: Cross multiply
    64,580.40x = 96,775.83 × 45,896.40
  4. Step 4: Simplify right side
    64,580.40x = 4,441,662,204.01
  5. Step 5: Solve for x
    x = 4,441,662,204.01/64,580.40
  6. Step 6: Final answer
    x = 68,777.25

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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.