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Finding the Fourth Proportional to 83,004.10, 124,430.55 and 30,400.90

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Solution

The fourth proportional to 83,004.10, 124,430.55 and 30,400.90 is: 45,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,004.10 : 124,430.55 = 30,400.90 : x
  2. Step 2: Convert to fraction form
    83,004.10/124,430.55 = 30,400.90/x
  3. Step 3: Cross multiply
    83,004.10x = 124,430.55 × 30,400.90
  4. Step 4: Simplify right side
    83,004.10x = 3,782,800,707.50
  5. Step 5: Solve for x
    x = 3,782,800,707.50/83,004.10
  6. Step 6: Final answer
    x = 45,573.66

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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.