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Finding the Fourth Proportional to 32,590.46, 48,884.07 and 17,828.21

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Solution

The fourth proportional to 32,590.46, 48,884.07 and 17,828.21 is: 26,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,590.46 : 48,884.07 = 17,828.21 : x
  2. Step 2: Convert to fraction form
    32,590.46/48,884.07 = 17,828.21/x
  3. Step 3: Cross multiply
    32,590.46x = 48,884.07 × 17,828.21
  4. Step 4: Simplify right side
    32,590.46x = 871,515,465.61
  5. Step 5: Solve for x
    x = 871,515,465.61/32,590.46
  6. Step 6: Final answer
    x = 26,741.43

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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.