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Finding the Fourth Proportional to 107,680, 161,526.48 and 33,808

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Solution

The fourth proportional to 107,680, 161,526.48 and 33,808 is: 50,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,680 : 161,526.48 = 33,808 : x
  2. Step 2: Convert to fraction form
    107,680/161,526.48 = 33,808/x
  3. Step 3: Cross multiply
    107,680x = 161,526.48 × 33,808
  4. Step 4: Simplify right side
    107,680x = 5,460,887,235.84
  5. Step 5: Solve for x
    x = 5,460,887,235.84/107,680
  6. Step 6: Final answer
    x = 50,714.03

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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.