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Finding the Fourth Proportional to 105,000.50, 157,451.49 and 38,394.05

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Solution

The fourth proportional to 105,000.50, 157,451.49 and 38,394.05 is: 57,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,000.50 : 157,451.49 = 38,394.05 : x
  2. Step 2: Convert to fraction form
    105,000.50/157,451.49 = 38,394.05/x
  3. Step 3: Cross multiply
    105,000.50x = 157,451.49 × 38,394.05
  4. Step 4: Simplify right side
    105,000.50x = 6,045,199,400.41
  5. Step 5: Solve for x
    x = 6,045,199,400.41/105,000.50
  6. Step 6: Final answer
    x = 57,573.06

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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.