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Finding the Fourth Proportional to 98,055.97, 147,068.57 and 26,983.94

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Solution

The fourth proportional to 98,055.97, 147,068.57 and 26,983.94 is: 40,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,055.97 : 147,068.57 = 26,983.94 : x
  2. Step 2: Convert to fraction form
    98,055.97/147,068.57 = 26,983.94/x
  3. Step 3: Cross multiply
    98,055.97x = 147,068.57 × 26,983.94
  4. Step 4: Simplify right side
    98,055.97x = 3,968,488,838.83
  5. Step 5: Solve for x
    x = 3,968,488,838.83/98,055.97
  6. Step 6: Final answer
    x = 40,471.67

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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.