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Finding the Fourth Proportional to 102,780.40, 154,186.80 and 32,666.80

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Solution

The fourth proportional to 102,780.40, 154,186.80 and 32,666.80 is: 49,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,780.40 : 154,186.80 = 32,666.80 : x
  2. Step 2: Convert to fraction form
    102,780.40/154,186.80 = 32,666.80/x
  3. Step 3: Cross multiply
    102,780.40x = 154,186.80 × 32,666.80
  4. Step 4: Simplify right side
    102,780.40x = 5,036,789,358.24
  5. Step 5: Solve for x
    x = 5,036,789,358.24/102,780.40
  6. Step 6: Final answer
    x = 49,005.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.