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Finding the Fourth Proportional to 102,627.80, 153,941.70 and 36,078.20

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Solution

The fourth proportional to 102,627.80, 153,941.70 and 36,078.20 is: 54,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,627.80 : 153,941.70 = 36,078.20 : x
  2. Step 2: Convert to fraction form
    102,627.80/153,941.70 = 36,078.20/x
  3. Step 3: Cross multiply
    102,627.80x = 153,941.70 × 36,078.20
  4. Step 4: Simplify right side
    102,627.80x = 5,553,939,440.94
  5. Step 5: Solve for x
    x = 5,553,939,440.94/102,627.80
  6. Step 6: Final answer
    x = 54,117.30

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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.