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Finding the Fourth Proportional to 42,159, 58,189.12 and 24,264.34

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Solution

The fourth proportional to 42,159, 58,189.12 and 24,264.34 is: 33,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,159 : 58,189.12 = 24,264.34 : x
  2. Step 2: Convert to fraction form
    42,159/58,189.12 = 24,264.34/x
  3. Step 3: Cross multiply
    42,159x = 58,189.12 × 24,264.34
  4. Step 4: Simplify right side
    42,159x = 1,411,920,591.98
  5. Step 5: Solve for x
    x = 1,411,920,591.98/42,159
  6. Step 6: Final answer
    x = 33,490.37

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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.