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Finding the Fourth Proportional to 29,677.44, 44,501.80 and 10,966.31

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Solution

The fourth proportional to 29,677.44, 44,501.80 and 10,966.31 is: 16,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.44 : 44,501.80 = 10,966.31 : x
  2. Step 2: Convert to fraction form
    29,677.44/44,501.80 = 10,966.31/x
  3. Step 3: Cross multiply
    29,677.44x = 44,501.80 × 10,966.31
  4. Step 4: Simplify right side
    29,677.44x = 488,020,534.36
  5. Step 5: Solve for x
    x = 488,020,534.36/29,677.44
  6. Step 6: Final answer
    x = 16,444.16

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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.