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Finding the Fourth Proportional to 89,842, 134,762.46 and 23,281.96

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Solution

The fourth proportional to 89,842, 134,762.46 and 23,281.96 is: 34,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,842 : 134,762.46 = 23,281.96 : x
  2. Step 2: Convert to fraction form
    89,842/134,762.46 = 23,281.96/x
  3. Step 3: Cross multiply
    89,842x = 134,762.46 × 23,281.96
  4. Step 4: Simplify right side
    89,842x = 3,137,534,203.22
  5. Step 5: Solve for x
    x = 3,137,534,203.22/89,842
  6. Step 6: Final answer
    x = 34,922.80

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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.