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Finding the Fourth Proportional to 86,541, 119,426.60 and 46,797

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Solution

The fourth proportional to 86,541, 119,426.60 and 46,797 is: 64,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,541 : 119,426.60 = 46,797 : x
  2. Step 2: Convert to fraction form
    86,541/119,426.60 = 46,797/x
  3. Step 3: Cross multiply
    86,541x = 119,426.60 × 46,797
  4. Step 4: Simplify right side
    86,541x = 5,588,806,366.22
  5. Step 5: Solve for x
    x = 5,588,806,366.22/86,541
  6. Step 6: Final answer
    x = 64,579.87

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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.