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Finding the Fourth Proportional to 70,818.84, 106,228.27 and 23,421.21

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Solution

The fourth proportional to 70,818.84, 106,228.27 and 23,421.21 is: 35,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,818.84 : 106,228.27 = 23,421.21 : x
  2. Step 2: Convert to fraction form
    70,818.84/106,228.27 = 23,421.21/x
  3. Step 3: Cross multiply
    70,818.84x = 106,228.27 × 23,421.21
  4. Step 4: Simplify right side
    70,818.84x = 2,487,994,741.24
  5. Step 5: Solve for x
    x = 2,487,994,741.24/70,818.84
  6. Step 6: Final answer
    x = 35,131.82

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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.