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Finding the Fourth Proportional to 46,111.50, 69,166.04 and 12,830.22

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Solution

The fourth proportional to 46,111.50, 69,166.04 and 12,830.22 is: 19,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,111.50 : 69,166.04 = 12,830.22 : x
  2. Step 2: Convert to fraction form
    46,111.50/69,166.04 = 12,830.22/x
  3. Step 3: Cross multiply
    46,111.50x = 69,166.04 × 12,830.22
  4. Step 4: Simplify right side
    46,111.50x = 887,415,445.58
  5. Step 5: Solve for x
    x = 887,415,445.58/46,111.50
  6. Step 6: Final answer
    x = 19,244.99

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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.