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Finding the Fourth Proportional to 42,326, 58,409.88 and 23,466

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Solution

The fourth proportional to 42,326, 58,409.88 and 23,466 is: 32,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,326 : 58,409.88 = 23,466 : x
  2. Step 2: Convert to fraction form
    42,326/58,409.88 = 23,466/x
  3. Step 3: Cross multiply
    42,326x = 58,409.88 × 23,466
  4. Step 4: Simplify right side
    42,326x = 1,370,646,244.08
  5. Step 5: Solve for x
    x = 1,370,646,244.08/42,326
  6. Step 6: Final answer
    x = 32,383.08

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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.