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Finding the Fourth Proportional to 86,526, 119,406.24 and 46,782

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Solution

The fourth proportional to 86,526, 119,406.24 and 46,782 is: 64,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,526 : 119,406.24 = 46,782 : x
  2. Step 2: Convert to fraction form
    86,526/119,406.24 = 46,782/x
  3. Step 3: Cross multiply
    86,526x = 119,406.24 × 46,782
  4. Step 4: Simplify right side
    86,526x = 5,586,062,719.68
  5. Step 5: Solve for x
    x = 5,586,062,719.68/86,526
  6. Step 6: Final answer
    x = 64,559.35

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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.