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Finding the Fourth Proportional to 32,286.16, 48,437.06 and 11,223.16

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Solution

The fourth proportional to 32,286.16, 48,437.06 and 11,223.16 is: 16,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.16 : 48,437.06 = 11,223.16 : x
  2. Step 2: Convert to fraction form
    32,286.16/48,437.06 = 11,223.16/x
  3. Step 3: Cross multiply
    32,286.16x = 48,437.06 × 11,223.16
  4. Step 4: Simplify right side
    32,286.16x = 543,616,697.10
  5. Step 5: Solve for x
    x = 543,616,697.10/32,286.16
  6. Step 6: Final answer
    x = 16,837.45

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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.