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Finding the Fourth Proportional to 58,267.50, 80,409.24 and 33,117

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Solution

The fourth proportional to 58,267.50, 80,409.24 and 33,117 is: 45,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,267.50 : 80,409.24 = 33,117 : x
  2. Step 2: Convert to fraction form
    58,267.50/80,409.24 = 33,117/x
  3. Step 3: Cross multiply
    58,267.50x = 80,409.24 × 33,117
  4. Step 4: Simplify right side
    58,267.50x = 2,662,912,801.08
  5. Step 5: Solve for x
    x = 2,662,912,801.08/58,267.50
  6. Step 6: Final answer
    x = 45,701.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.