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Finding the Fourth Proportional to 30,751.01, 46,126.51 and 8,564.96

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Solution

The fourth proportional to 30,751.01, 46,126.51 and 8,564.96 is: 12,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.01 : 46,126.51 = 8,564.96 : x
  2. Step 2: Convert to fraction form
    30,751.01/46,126.51 = 8,564.96/x
  3. Step 3: Cross multiply
    30,751.01x = 46,126.51 × 8,564.96
  4. Step 4: Simplify right side
    30,751.01x = 395,071,595.71
  5. Step 5: Solve for x
    x = 395,071,595.71/30,751.01
  6. Step 6: Final answer
    x = 12,847.44

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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.