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Finding the Fourth Proportional to 32,953.50, 45,475.80 and 17,846.16

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Solution

The fourth proportional to 32,953.50, 45,475.80 and 17,846.16 is: 24,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953.50 : 45,475.80 = 17,846.16 : x
  2. Step 2: Convert to fraction form
    32,953.50/45,475.80 = 17,846.16/x
  3. Step 3: Cross multiply
    32,953.50x = 45,475.80 × 17,846.16
  4. Step 4: Simplify right side
    32,953.50x = 811,568,402.93
  5. Step 5: Solve for x
    x = 811,568,402.93/32,953.50
  6. Step 6: Final answer
    x = 24,627.68

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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.