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Finding the Fourth Proportional to 42,402, 58,514.76 and 24,738

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Solution

The fourth proportional to 42,402, 58,514.76 and 24,738 is: 34,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,402 : 58,514.76 = 24,738 : x
  2. Step 2: Convert to fraction form
    42,402/58,514.76 = 24,738/x
  3. Step 3: Cross multiply
    42,402x = 58,514.76 × 24,738
  4. Step 4: Simplify right side
    42,402x = 1,447,538,132.88
  5. Step 5: Solve for x
    x = 1,447,538,132.88/42,402
  6. Step 6: Final answer
    x = 34,138.44

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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.