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Finding the Fourth Proportional to 32,005.30, 48,007.95 and 27,627.70

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Solution

The fourth proportional to 32,005.30, 48,007.95 and 27,627.70 is: 41,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.30 : 48,007.95 = 27,627.70 : x
  2. Step 2: Convert to fraction form
    32,005.30/48,007.95 = 27,627.70/x
  3. Step 3: Cross multiply
    32,005.30x = 48,007.95 × 27,627.70
  4. Step 4: Simplify right side
    32,005.30x = 1,326,349,240.22
  5. Step 5: Solve for x
    x = 1,326,349,240.22/32,005.30
  6. Step 6: Final answer
    x = 41,441.55

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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.