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Finding the Fourth Proportional to 30,852.65, 46,269.41 and 11,128.64

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Solution

The fourth proportional to 30,852.65, 46,269.41 and 11,128.64 is: 16,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,852.65 : 46,269.41 = 11,128.64 : x
  2. Step 2: Convert to fraction form
    30,852.65/46,269.41 = 11,128.64/x
  3. Step 3: Cross multiply
    30,852.65x = 46,269.41 × 11,128.64
  4. Step 4: Simplify right side
    30,852.65x = 514,915,319.91
  5. Step 5: Solve for x
    x = 514,915,319.91/30,852.65
  6. Step 6: Final answer
    x = 16,689.50

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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.