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Finding the Fourth Proportional to 102,029.36, 153,039.84 and 35,484.56

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Solution

The fourth proportional to 102,029.36, 153,039.84 and 35,484.56 is: 53,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,029.36 : 153,039.84 = 35,484.56 : x
  2. Step 2: Convert to fraction form
    102,029.36/153,039.84 = 35,484.56/x
  3. Step 3: Cross multiply
    102,029.36x = 153,039.84 × 35,484.56
  4. Step 4: Simplify right side
    102,029.36x = 5,430,551,384.87
  5. Step 5: Solve for x
    x = 5,430,551,384.87/102,029.36
  6. Step 6: Final answer
    x = 53,225.38

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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.