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Finding the Fourth Proportional to 29,671.66, 40,946.94 and 16,242.92

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Solution

The fourth proportional to 29,671.66, 40,946.94 and 16,242.92 is: 22,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671.66 : 40,946.94 = 16,242.92 : x
  2. Step 2: Convert to fraction form
    29,671.66/40,946.94 = 16,242.92/x
  3. Step 3: Cross multiply
    29,671.66x = 40,946.94 × 16,242.92
  4. Step 4: Simplify right side
    29,671.66x = 665,097,870.66
  5. Step 5: Solve for x
    x = 665,097,870.66/29,671.66
  6. Step 6: Final answer
    x = 22,415.26

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1.5x scale

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.