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Finding the Fourth Proportional to 102,056.44, 153,124.02 and 35,503.48

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Solution

The fourth proportional to 102,056.44, 153,124.02 and 35,503.48 is: 53,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056.44 : 153,124.02 = 35,503.48 : x
  2. Step 2: Convert to fraction form
    102,056.44/153,124.02 = 35,503.48/x
  3. Step 3: Cross multiply
    102,056.44x = 153,124.02 × 35,503.48
  4. Step 4: Simplify right side
    102,056.44x = 5,436,435,581.59
  5. Step 5: Solve for x
    x = 5,436,435,581.59/102,056.44
  6. Step 6: Final answer
    x = 53,268.91

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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.