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Finding the Fourth Proportional to 64,827, 89,461.26 and 36,533.70

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Solution

The fourth proportional to 64,827, 89,461.26 and 36,533.70 is: 50,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,827 : 89,461.26 = 36,533.70 : x
  2. Step 2: Convert to fraction form
    64,827/89,461.26 = 36,533.70/x
  3. Step 3: Cross multiply
    64,827x = 89,461.26 × 36,533.70
  4. Step 4: Simplify right side
    64,827x = 3,268,350,834.46
  5. Step 5: Solve for x
    x = 3,268,350,834.46/64,827
  6. Step 6: Final answer
    x = 50,416.51

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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.