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Finding the Fourth Proportional to 64,506.40, 89,015.84 and 35,827.90

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Solution

The fourth proportional to 64,506.40, 89,015.84 and 35,827.90 is: 49,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,506.40 : 89,015.84 = 35,827.90 : x
  2. Step 2: Convert to fraction form
    64,506.40/89,015.84 = 35,827.90/x
  3. Step 3: Cross multiply
    64,506.40x = 89,015.84 × 35,827.90
  4. Step 4: Simplify right side
    64,506.40x = 3,189,250,613.94
  5. Step 5: Solve for x
    x = 3,189,250,613.94/64,506.40
  6. Step 6: Final answer
    x = 49,440.84

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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.