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Finding the Fourth Proportional to 42,418, 58,536.84 and 27,514

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Solution

The fourth proportional to 42,418, 58,536.84 and 27,514 is: 37,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,418 : 58,536.84 = 27,514 : x
  2. Step 2: Convert to fraction form
    42,418/58,536.84 = 27,514/x
  3. Step 3: Cross multiply
    42,418x = 58,536.84 × 27,514
  4. Step 4: Simplify right side
    42,418x = 1,610,582,615.76
  5. Step 5: Solve for x
    x = 1,610,582,615.76/42,418
  6. Step 6: Final answer
    x = 37,969.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.