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Finding the Fourth Proportional to 64,771.96, 89,386.94 and 36,478.60

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Solution

The fourth proportional to 64,771.96, 89,386.94 and 36,478.60 is: 50,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,771.96 : 89,386.94 = 36,478.60 : x
  2. Step 2: Convert to fraction form
    64,771.96/89,386.94 = 36,478.60/x
  3. Step 3: Cross multiply
    64,771.96x = 89,386.94 × 36,478.60
  4. Step 4: Simplify right side
    64,771.96x = 3,260,710,429.48
  5. Step 5: Solve for x
    x = 3,260,710,429.48/64,771.96
  6. Step 6: Final answer
    x = 50,341.39

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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.