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Finding the Fourth Proportional to 88,741, 133,111.50 and 23,077

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Solution

The fourth proportional to 88,741, 133,111.50 and 23,077 is: 34,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,741 : 133,111.50 = 23,077 : x
  2. Step 2: Convert to fraction form
    88,741/133,111.50 = 23,077/x
  3. Step 3: Cross multiply
    88,741x = 133,111.50 × 23,077
  4. Step 4: Simplify right side
    88,741x = 3,071,814,085.50
  5. Step 5: Solve for x
    x = 3,071,814,085.50/88,741
  6. Step 6: Final answer
    x = 34,615.50

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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.