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Finding the Fourth Proportional to 129,827.76, 194,751.49 and 35,056.56

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Solution

The fourth proportional to 129,827.76, 194,751.49 and 35,056.56 is: 52,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,827.76 : 194,751.49 = 35,056.56 : x
  2. Step 2: Convert to fraction form
    129,827.76/194,751.49 = 35,056.56/x
  3. Step 3: Cross multiply
    129,827.76x = 194,751.49 × 35,056.56
  4. Step 4: Simplify right side
    129,827.76x = 6,827,317,693.51
  5. Step 5: Solve for x
    x = 6,827,317,693.51/129,827.76
  6. Step 6: Final answer
    x = 52,587.50

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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.