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Finding the Fourth Proportional to 30,135.40, 41,602.50 and 23,405.96

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Solution

The fourth proportional to 30,135.40, 41,602.50 and 23,405.96 is: 32,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.40 : 41,602.50 = 23,405.96 : x
  2. Step 2: Convert to fraction form
    30,135.40/41,602.50 = 23,405.96/x
  3. Step 3: Cross multiply
    30,135.40x = 41,602.50 × 23,405.96
  4. Step 4: Simplify right side
    30,135.40x = 973,746,450.90
  5. Step 5: Solve for x
    x = 973,746,450.90/30,135.40
  6. Step 6: Final answer
    x = 32,312.38

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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.