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Finding the Fourth Proportional to 64,009.20, 96,061.80 and 32,828.40

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Solution

The fourth proportional to 64,009.20, 96,061.80 and 32,828.40 is: 49,267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,009.20 : 96,061.80 = 32,828.40 : x
  2. Step 2: Convert to fraction form
    64,009.20/96,061.80 = 32,828.40/x
  3. Step 3: Cross multiply
    64,009.20x = 96,061.80 × 32,828.40
  4. Step 4: Simplify right side
    64,009.20x = 3,153,555,195.12
  5. Step 5: Solve for x
    x = 3,153,555,195.12/64,009.20
  6. Step 6: Final answer
    x = 49,267.22

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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.