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Finding the Fourth Proportional to 186,632.84, 279,949.06 and 46,391.47

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Solution

The fourth proportional to 186,632.84, 279,949.06 and 46,391.47 is: 69,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,632.84 : 279,949.06 = 46,391.47 : x
  2. Step 2: Convert to fraction form
    186,632.84/279,949.06 = 46,391.47/x
  3. Step 3: Cross multiply
    186,632.84x = 279,949.06 × 46,391.47
  4. Step 4: Simplify right side
    186,632.84x = 12,987,247,776.63
  5. Step 5: Solve for x
    x = 12,987,247,776.63/186,632.84
  6. Step 6: Final answer
    x = 69,587.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.