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Finding the Fourth Proportional to 29,751.84, 44,628.06 and 7,565.22

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Solution

The fourth proportional to 29,751.84, 44,628.06 and 7,565.22 is: 11,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,751.84 : 44,628.06 = 7,565.22 : x
  2. Step 2: Convert to fraction form
    29,751.84/44,628.06 = 7,565.22/x
  3. Step 3: Cross multiply
    29,751.84x = 44,628.06 × 7,565.22
  4. Step 4: Simplify right side
    29,751.84x = 337,621,092.07
  5. Step 5: Solve for x
    x = 337,621,092.07/29,751.84
  6. Step 6: Final answer
    x = 11,347.91

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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.