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Finding the Fourth Proportional to 78,954.41, 108,959.78 and 43,146.74

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Solution

The fourth proportional to 78,954.41, 108,959.78 and 43,146.74 is: 59,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,954.41 : 108,959.78 = 43,146.74 : x
  2. Step 2: Convert to fraction form
    78,954.41/108,959.78 = 43,146.74/x
  3. Step 3: Cross multiply
    78,954.41x = 108,959.78 × 43,146.74
  4. Step 4: Simplify right side
    78,954.41x = 4,701,259,678.38
  5. Step 5: Solve for x
    x = 4,701,259,678.38/78,954.41
  6. Step 6: Final answer
    x = 59,543.98

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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.