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Finding the Fourth Proportional to 29,776.14, 44,662.59 and 8,715.33

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Solution

The fourth proportional to 29,776.14, 44,662.59 and 8,715.33 is: 13,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,776.14 : 44,662.59 = 8,715.33 : x
  2. Step 2: Convert to fraction form
    29,776.14/44,662.59 = 8,715.33/x
  3. Step 3: Cross multiply
    29,776.14x = 44,662.59 × 8,715.33
  4. Step 4: Simplify right side
    29,776.14x = 389,249,210.50
  5. Step 5: Solve for x
    x = 389,249,210.50/29,776.14
  6. Step 6: Final answer
    x = 13,072.52

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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.