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Finding the Fourth Proportional to 86,628, 119,546.64 and 46,884

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Solution

The fourth proportional to 86,628, 119,546.64 and 46,884 is: 64,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,628 : 119,546.64 = 46,884 : x
  2. Step 2: Convert to fraction form
    86,628/119,546.64 = 46,884/x
  3. Step 3: Cross multiply
    86,628x = 119,546.64 × 46,884
  4. Step 4: Simplify right side
    86,628x = 5,604,824,669.76
  5. Step 5: Solve for x
    x = 5,604,824,669.76/86,628
  6. Step 6: Final answer
    x = 64,699.92

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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.