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Finding the Fourth Proportional to 32,125, 44,283.90 and 27,624.64

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Solution

The fourth proportional to 32,125, 44,283.90 and 27,624.64 is: 38,080.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125 : 44,283.90 = 27,624.64 : x
  2. Step 2: Convert to fraction form
    32,125/44,283.90 = 27,624.64/x
  3. Step 3: Cross multiply
    32,125x = 44,283.90 × 27,624.64
  4. Step 4: Simplify right side
    32,125x = 1,223,326,795.30
  5. Step 5: Solve for x
    x = 1,223,326,795.30/32,125
  6. Step 6: Final answer
    x = 38,080.21

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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.