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Finding the Fourth Proportional to 73,083, 109,628.10 and 23,835

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Solution

The fourth proportional to 73,083, 109,628.10 and 23,835 is: 35,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,083 : 109,628.10 = 23,835 : x
  2. Step 2: Convert to fraction form
    73,083/109,628.10 = 23,835/x
  3. Step 3: Cross multiply
    73,083x = 109,628.10 × 23,835
  4. Step 4: Simplify right side
    73,083x = 2,612,985,763.50
  5. Step 5: Solve for x
    x = 2,612,985,763.50/73,083
  6. Step 6: Final answer
    x = 35,753.67

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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.