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Finding the Fourth Proportional to 86,516, 119,392.24 and 46,772

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Solution

The fourth proportional to 86,516, 119,392.24 and 46,772 is: 64,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,516 : 119,392.24 = 46,772 : x
  2. Step 2: Convert to fraction form
    86,516/119,392.24 = 46,772/x
  3. Step 3: Cross multiply
    86,516x = 119,392.24 × 46,772
  4. Step 4: Simplify right side
    86,516x = 5,584,213,849.28
  5. Step 5: Solve for x
    x = 5,584,213,849.28/86,516
  6. Step 6: Final answer
    x = 64,545.45

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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.