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Finding the Fourth Proportional to 55,886.94, 77,122.71 and 30,736.86

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Solution

The fourth proportional to 55,886.94, 77,122.71 and 30,736.86 is: 42,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,886.94 : 77,122.71 = 30,736.86 : x
  2. Step 2: Convert to fraction form
    55,886.94/77,122.71 = 30,736.86/x
  3. Step 3: Cross multiply
    55,886.94x = 77,122.71 × 30,736.86
  4. Step 4: Simplify right side
    55,886.94x = 2,370,509,940.09
  5. Step 5: Solve for x
    x = 2,370,509,940.09/55,886.94
  6. Step 6: Final answer
    x = 42,416.17

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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.