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Finding the Fourth Proportional to 92,648.14, 138,968.94 and 39,305.86

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Solution

The fourth proportional to 92,648.14, 138,968.94 and 39,305.86 is: 58,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,648.14 : 138,968.94 = 39,305.86 : x
  2. Step 2: Convert to fraction form
    92,648.14/138,968.94 = 39,305.86/x
  3. Step 3: Cross multiply
    92,648.14x = 138,968.94 × 39,305.86
  4. Step 4: Simplify right side
    92,648.14x = 5,462,293,699.99
  5. Step 5: Solve for x
    x = 5,462,293,699.99/92,648.14
  6. Step 6: Final answer
    x = 58,957.40

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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.