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Finding the Fourth Proportional to 107,630.76, 161,446.50 and 37,461

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Solution

The fourth proportional to 107,630.76, 161,446.50 and 37,461 is: 56,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,630.76 : 161,446.50 = 37,461 : x
  2. Step 2: Convert to fraction form
    107,630.76/161,446.50 = 37,461/x
  3. Step 3: Cross multiply
    107,630.76x = 161,446.50 × 37,461
  4. Step 4: Simplify right side
    107,630.76x = 6,047,947,336.50
  5. Step 5: Solve for x
    x = 6,047,947,336.50/107,630.76
  6. Step 6: Final answer
    x = 56,191.63

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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.