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Finding the Fourth Proportional to 19,742.48, 29,602.68 and 8,042

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Solution

The fourth proportional to 19,742.48, 29,602.68 and 8,042 is: 12,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742.48 : 29,602.68 = 8,042 : x
  2. Step 2: Convert to fraction form
    19,742.48/29,602.68 = 8,042/x
  3. Step 3: Cross multiply
    19,742.48x = 29,602.68 × 8,042
  4. Step 4: Simplify right side
    19,742.48x = 238,064,752.56
  5. Step 5: Solve for x
    x = 238,064,752.56/19,742.48
  6. Step 6: Final answer
    x = 12,058.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.