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Finding the Fourth Proportional to 59,675.16, 82,350 and 34,180.68

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Solution

The fourth proportional to 59,675.16, 82,350 and 34,180.68 is: 47,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,675.16 : 82,350 = 34,180.68 : x
  2. Step 2: Convert to fraction form
    59,675.16/82,350 = 34,180.68/x
  3. Step 3: Cross multiply
    59,675.16x = 82,350 × 34,180.68
  4. Step 4: Simplify right side
    59,675.16x = 2,814,778,998
  5. Step 5: Solve for x
    x = 2,814,778,998/59,675.16
  6. Step 6: Final answer
    x = 47,168.35

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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.