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Finding the Fourth Proportional to 115,466.50, 173,206.32 and 32,366.98

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Solution

The fourth proportional to 115,466.50, 173,206.32 and 32,366.98 is: 48,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,466.50 : 173,206.32 = 32,366.98 : x
  2. Step 2: Convert to fraction form
    115,466.50/173,206.32 = 32,366.98/x
  3. Step 3: Cross multiply
    115,466.50x = 173,206.32 × 32,366.98
  4. Step 4: Simplify right side
    115,466.50x = 5,606,165,495.31
  5. Step 5: Solve for x
    x = 5,606,165,495.31/115,466.50
  6. Step 6: Final answer
    x = 48,552.31

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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.