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Finding the Fourth Proportional to 114,954, 172,430.82 and 36,074.28

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Solution

The fourth proportional to 114,954, 172,430.82 and 36,074.28 is: 54,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,954 : 172,430.82 = 36,074.28 : x
  2. Step 2: Convert to fraction form
    114,954/172,430.82 = 36,074.28/x
  3. Step 3: Cross multiply
    114,954x = 172,430.82 × 36,074.28
  4. Step 4: Simplify right side
    114,954x = 6,220,317,681.31
  5. Step 5: Solve for x
    x = 6,220,317,681.31/114,954
  6. Step 6: Final answer
    x = 54,111.36

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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.