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Finding the Fourth Proportional to 102,004.72, 153,006.87 and 27,124.87

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Solution

The fourth proportional to 102,004.72, 153,006.87 and 27,124.87 is: 40,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.72 : 153,006.87 = 27,124.87 : x
  2. Step 2: Convert to fraction form
    102,004.72/153,006.87 = 27,124.87/x
  3. Step 3: Cross multiply
    102,004.72x = 153,006.87 × 27,124.87
  4. Step 4: Simplify right side
    102,004.72x = 4,150,291,457.86
  5. Step 5: Solve for x
    x = 4,150,291,457.86/102,004.72
  6. Step 6: Final answer
    x = 40,687.25

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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.