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Finding the Fourth Proportional to 70,530.84, 105,793.53 and 17,941.70

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Solution

The fourth proportional to 70,530.84, 105,793.53 and 17,941.70 is: 26,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530.84 : 105,793.53 = 17,941.70 : x
  2. Step 2: Convert to fraction form
    70,530.84/105,793.53 = 17,941.70/x
  3. Step 3: Cross multiply
    70,530.84x = 105,793.53 × 17,941.70
  4. Step 4: Simplify right side
    70,530.84x = 1,898,115,248.23
  5. Step 5: Solve for x
    x = 1,898,115,248.23/70,530.84
  6. Step 6: Final answer
    x = 26,911.85

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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.