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Finding the Fourth Proportional to 42,323.80, 58,410.30 and 23,467

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Solution

The fourth proportional to 42,323.80, 58,410.30 and 23,467 is: 32,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,323.80 : 58,410.30 = 23,467 : x
  2. Step 2: Convert to fraction form
    42,323.80/58,410.30 = 23,467/x
  3. Step 3: Cross multiply
    42,323.80x = 58,410.30 × 23,467
  4. Step 4: Simplify right side
    42,323.80x = 1,370,714,510.10
  5. Step 5: Solve for x
    x = 1,370,714,510.10/42,323.80
  6. Step 6: Final answer
    x = 32,386.38

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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.