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Finding the Fourth Proportional to 29,707.42, 40,994.46 and 16,276

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Solution

The fourth proportional to 29,707.42, 40,994.46 and 16,276 is: 22,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,707.42 : 40,994.46 = 16,276 : x
  2. Step 2: Convert to fraction form
    29,707.42/40,994.46 = 16,276/x
  3. Step 3: Cross multiply
    29,707.42x = 40,994.46 × 16,276
  4. Step 4: Simplify right side
    29,707.42x = 667,225,830.96
  5. Step 5: Solve for x
    x = 667,225,830.96/29,707.42
  6. Step 6: Final answer
    x = 22,459.90

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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.