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Finding the Fourth Proportional to 42,341, 58,427.96 and 23,478.12

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Solution

The fourth proportional to 42,341, 58,427.96 and 23,478.12 is: 32,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,341 : 58,427.96 = 23,478.12 : x
  2. Step 2: Convert to fraction form
    42,341/58,427.96 = 23,478.12/x
  3. Step 3: Cross multiply
    42,341x = 58,427.96 × 23,478.12
  4. Step 4: Simplify right side
    42,341x = 1,371,778,656.24
  5. Step 5: Solve for x
    x = 1,371,778,656.24/42,341
  6. Step 6: Final answer
    x = 32,398.35

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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.