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Finding the Fourth Proportional to 29,478.51, 44,201.34 and 9,751.77

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Solution

The fourth proportional to 29,478.51, 44,201.34 and 9,751.77 is: 14,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478.51 : 44,201.34 = 9,751.77 : x
  2. Step 2: Convert to fraction form
    29,478.51/44,201.34 = 9,751.77/x
  3. Step 3: Cross multiply
    29,478.51x = 44,201.34 × 9,751.77
  4. Step 4: Simplify right side
    29,478.51x = 431,041,301.37
  5. Step 5: Solve for x
    x = 431,041,301.37/29,478.51
  6. Step 6: Final answer
    x = 14,622.22

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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.