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Finding the Fourth Proportional to 32,165.64, 44,379.90 and 19,581.48

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Solution

The fourth proportional to 32,165.64, 44,379.90 and 19,581.48 is: 27,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.64 : 44,379.90 = 19,581.48 : x
  2. Step 2: Convert to fraction form
    32,165.64/44,379.90 = 19,581.48/x
  3. Step 3: Cross multiply
    32,165.64x = 44,379.90 × 19,581.48
  4. Step 4: Simplify right side
    32,165.64x = 869,024,124.25
  5. Step 5: Solve for x
    x = 869,024,124.25/32,165.64
  6. Step 6: Final answer
    x = 27,017.16

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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.