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Finding the Fourth Proportional to 43,315, 59,774.70 and 23,443

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Solution

The fourth proportional to 43,315, 59,774.70 and 23,443 is: 32,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,315 : 59,774.70 = 23,443 : x
  2. Step 2: Convert to fraction form
    43,315/59,774.70 = 23,443/x
  3. Step 3: Cross multiply
    43,315x = 59,774.70 × 23,443
  4. Step 4: Simplify right side
    43,315x = 1,401,298,292.10
  5. Step 5: Solve for x
    x = 1,401,298,292.10/43,315
  6. Step 6: Final answer
    x = 32,351.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.