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Finding the Fourth Proportional to 43,258, 59,696.10 and 23,386

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Solution

The fourth proportional to 43,258, 59,696.10 and 23,386 is: 32,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,258 : 59,696.10 = 23,386 : x
  2. Step 2: Convert to fraction form
    43,258/59,696.10 = 23,386/x
  3. Step 3: Cross multiply
    43,258x = 59,696.10 × 23,386
  4. Step 4: Simplify right side
    43,258x = 1,396,052,994.60
  5. Step 5: Solve for x
    x = 1,396,052,994.60/43,258
  6. Step 6: Final answer
    x = 32,272.71

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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.