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Finding the Fourth Proportional to 42,417, 58,537.89 and 23,555.34

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Solution

The fourth proportional to 42,417, 58,537.89 and 23,555.34 is: 32,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,417 : 58,537.89 = 23,555.34 : x
  2. Step 2: Convert to fraction form
    42,417/58,537.89 = 23,555.34/x
  3. Step 3: Cross multiply
    42,417x = 58,537.89 × 23,555.34
  4. Step 4: Simplify right side
    42,417x = 1,378,879,901.83
  5. Step 5: Solve for x
    x = 1,378,879,901.83/42,417
  6. Step 6: Final answer
    x = 32,507.72

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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.