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Finding the Fourth Proportional to 89,106.64, 133,672.25 and 29,946.90

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Solution

The fourth proportional to 89,106.64, 133,672.25 and 29,946.90 is: 44,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,106.64 : 133,672.25 = 29,946.90 : x
  2. Step 2: Convert to fraction form
    89,106.64/133,672.25 = 29,946.90/x
  3. Step 3: Cross multiply
    89,106.64x = 133,672.25 × 29,946.90
  4. Step 4: Simplify right side
    89,106.64x = 4,003,069,503.53
  5. Step 5: Solve for x
    x = 4,003,069,503.53/89,106.64
  6. Step 6: Final answer
    x = 44,924.48

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1.5x scale

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.