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Finding the Fourth Proportional to 114,663.85, 172,063.44 and 43,646.29

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Solution

The fourth proportional to 114,663.85, 172,063.44 and 43,646.29 is: 65,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,663.85 : 172,063.44 = 43,646.29 : x
  2. Step 2: Convert to fraction form
    114,663.85/172,063.44 = 43,646.29/x
  3. Step 3: Cross multiply
    114,663.85x = 172,063.44 × 43,646.29
  4. Step 4: Simplify right side
    114,663.85x = 7,509,930,800.64
  5. Step 5: Solve for x
    x = 7,509,930,800.64/114,663.85
  6. Step 6: Final answer
    x = 65,495.19

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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.