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Finding the Fourth Proportional to 175,790.64, 263,683.76 and 42,672

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Solution

The fourth proportional to 175,790.64, 263,683.76 and 42,672 is: 64,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,790.64 : 263,683.76 = 42,672 : x
  2. Step 2: Convert to fraction form
    175,790.64/263,683.76 = 42,672/x
  3. Step 3: Cross multiply
    175,790.64x = 263,683.76 × 42,672
  4. Step 4: Simplify right side
    175,790.64x = 11,251,913,406.72
  5. Step 5: Solve for x
    x = 11,251,913,406.72/175,790.64
  6. Step 6: Final answer
    x = 64,007.47

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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.