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Finding the Fourth Proportional to 52,085.34, 71,830.53 and 34,173.54

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Solution

The fourth proportional to 52,085.34, 71,830.53 and 34,173.54 is: 47,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,085.34 : 71,830.53 = 34,173.54 : x
  2. Step 2: Convert to fraction form
    52,085.34/71,830.53 = 34,173.54/x
  3. Step 3: Cross multiply
    52,085.34x = 71,830.53 × 34,173.54
  4. Step 4: Simplify right side
    52,085.34x = 2,454,703,319.31
  5. Step 5: Solve for x
    x = 2,454,703,319.31/52,085.34
  6. Step 6: Final answer
    x = 47,128.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.