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Finding the Fourth Proportional to 64,977, 89,668.53 and 35,169

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Solution

The fourth proportional to 64,977, 89,668.53 and 35,169 is: 48,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,977 : 89,668.53 = 35,169 : x
  2. Step 2: Convert to fraction form
    64,977/89,668.53 = 35,169/x
  3. Step 3: Cross multiply
    64,977x = 89,668.53 × 35,169
  4. Step 4: Simplify right side
    64,977x = 3,153,552,531.57
  5. Step 5: Solve for x
    x = 3,153,552,531.57/64,977
  6. Step 6: Final answer
    x = 48,533.37

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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.