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Finding the Fourth Proportional to 33,430.50, 50,148.18 and 12,654

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Solution

The fourth proportional to 33,430.50, 50,148.18 and 12,654 is: 18,981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,430.50 : 50,148.18 = 12,654 : x
  2. Step 2: Convert to fraction form
    33,430.50/50,148.18 = 12,654/x
  3. Step 3: Cross multiply
    33,430.50x = 50,148.18 × 12,654
  4. Step 4: Simplify right side
    33,430.50x = 634,575,069.72
  5. Step 5: Solve for x
    x = 634,575,069.72/33,430.50
  6. Step 6: Final answer
    x = 18,981.92

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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.