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Finding the Fourth Proportional to 59,175, 81,661.92 and 34,024.68

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Solution

The fourth proportional to 59,175, 81,661.92 and 34,024.68 is: 46,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,175 : 81,661.92 = 34,024.68 : x
  2. Step 2: Convert to fraction form
    59,175/81,661.92 = 34,024.68/x
  3. Step 3: Cross multiply
    59,175x = 81,661.92 × 34,024.68
  4. Step 4: Simplify right side
    59,175x = 2,778,520,696.19
  5. Step 5: Solve for x
    x = 2,778,520,696.19/59,175
  6. Step 6: Final answer
    x = 46,954.30

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Why These Related Problems?

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