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Finding the Fourth Proportional to 32,546.64, 44,916.30 and 18,400.80

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Solution

The fourth proportional to 32,546.64, 44,916.30 and 18,400.80 is: 25,394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.64 : 44,916.30 = 18,400.80 : x
  2. Step 2: Convert to fraction form
    32,546.64/44,916.30 = 18,400.80/x
  3. Step 3: Cross multiply
    32,546.64x = 44,916.30 × 18,400.80
  4. Step 4: Simplify right side
    32,546.64x = 826,495,853.04
  5. Step 5: Solve for x
    x = 826,495,853.04/32,546.64
  6. Step 6: Final answer
    x = 25,394.20

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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.