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Finding the Fourth Proportional to 98,035.94, 147,201.42 and 55,963.46

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Solution

The fourth proportional to 98,035.94, 147,201.42 and 55,963.46 is: 84,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,035.94 : 147,201.42 = 55,963.46 : x
  2. Step 2: Convert to fraction form
    98,035.94/147,201.42 = 55,963.46/x
  3. Step 3: Cross multiply
    98,035.94x = 147,201.42 × 55,963.46
  4. Step 4: Simplify right side
    98,035.94x = 8,237,900,780.11
  5. Step 5: Solve for x
    x = 8,237,900,780.11/98,035.94
  6. Step 6: Final answer
    x = 84,029.40

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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.