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Finding the Fourth Proportional to 32,109.40, 48,164.10 and 28,828.90

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Solution

The fourth proportional to 32,109.40, 48,164.10 and 28,828.90 is: 43,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.40 : 48,164.10 = 28,828.90 : x
  2. Step 2: Convert to fraction form
    32,109.40/48,164.10 = 28,828.90/x
  3. Step 3: Cross multiply
    32,109.40x = 48,164.10 × 28,828.90
  4. Step 4: Simplify right side
    32,109.40x = 1,388,518,022.49
  5. Step 5: Solve for x
    x = 1,388,518,022.49/32,109.40
  6. Step 6: Final answer
    x = 43,243.35

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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.