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Finding the Fourth Proportional to 86,433, 119,277.54 and 46,689

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Solution

The fourth proportional to 86,433, 119,277.54 and 46,689 is: 64,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,433 : 119,277.54 = 46,689 : x
  2. Step 2: Convert to fraction form
    86,433/119,277.54 = 46,689/x
  3. Step 3: Cross multiply
    86,433x = 119,277.54 × 46,689
  4. Step 4: Simplify right side
    86,433x = 5,568,949,065.06
  5. Step 5: Solve for x
    x = 5,568,949,065.06/86,433
  6. Step 6: Final answer
    x = 64,430.82

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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.