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Finding the Fourth Proportional to 64,829.57, 89,464.73 and 35,021.57

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Solution

The fourth proportional to 64,829.57, 89,464.73 and 35,021.57 is: 48,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,829.57 : 89,464.73 = 35,021.57 : x
  2. Step 2: Convert to fraction form
    64,829.57/89,464.73 = 35,021.57/x
  3. Step 3: Cross multiply
    64,829.57x = 89,464.73 × 35,021.57
  4. Step 4: Simplify right side
    64,829.57x = 3,133,194,681.79
  5. Step 5: Solve for x
    x = 3,133,194,681.79/64,829.57
  6. Step 6: Final answer
    x = 48,329.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.