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Finding the Fourth Proportional to 92,048.23, 138,072.68 and 28,007

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Solution

The fourth proportional to 92,048.23, 138,072.68 and 28,007 is: 42,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,048.23 : 138,072.68 = 28,007 : x
  2. Step 2: Convert to fraction form
    92,048.23/138,072.68 = 28,007/x
  3. Step 3: Cross multiply
    92,048.23x = 138,072.68 × 28,007
  4. Step 4: Simplify right side
    92,048.23x = 3,867,001,548.76
  5. Step 5: Solve for x
    x = 3,867,001,548.76/92,048.23
  6. Step 6: Final answer
    x = 42,010.60

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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.