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Finding the Fourth Proportional to 85,409.64, 128,137.95 and 41,073.48

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Solution

The fourth proportional to 85,409.64, 128,137.95 and 41,073.48 is: 61,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.64 : 128,137.95 = 41,073.48 : x
  2. Step 2: Convert to fraction form
    85,409.64/128,137.95 = 41,073.48/x
  3. Step 3: Cross multiply
    85,409.64x = 128,137.95 × 41,073.48
  4. Step 4: Simplify right side
    85,409.64x = 5,263,071,526.57
  5. Step 5: Solve for x
    x = 5,263,071,526.57/85,409.64
  6. Step 6: Final answer
    x = 61,621.52

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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.