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Finding the Fourth Proportional to 162,076.56, 243,106.05 and 49,756.80

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Solution

The fourth proportional to 162,076.56, 243,106.05 and 49,756.80 is: 74,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,076.56 : 243,106.05 = 49,756.80 : x
  2. Step 2: Convert to fraction form
    162,076.56/243,106.05 = 49,756.80/x
  3. Step 3: Cross multiply
    162,076.56x = 243,106.05 × 49,756.80
  4. Step 4: Simplify right side
    162,076.56x = 12,096,179,108.64
  5. Step 5: Solve for x
    x = 12,096,179,108.64/162,076.56
  6. Step 6: Final answer
    x = 74,632.50

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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.