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Finding the Fourth Proportional to 123,967.02, 185,954.04 and 30,472.50

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Solution

The fourth proportional to 123,967.02, 185,954.04 and 30,472.50 is: 45,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,967.02 : 185,954.04 = 30,472.50 : x
  2. Step 2: Convert to fraction form
    123,967.02/185,954.04 = 30,472.50/x
  3. Step 3: Cross multiply
    123,967.02x = 185,954.04 × 30,472.50
  4. Step 4: Simplify right side
    123,967.02x = 5,666,484,483.90
  5. Step 5: Solve for x
    x = 5,666,484,483.90/123,967.02
  6. Step 6: Final answer
    x = 45,709.61

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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.