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Finding the Fourth Proportional to 102,732.68, 154,097.36 and 39,566.66

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Solution

The fourth proportional to 102,732.68, 154,097.36 and 39,566.66 is: 59,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,732.68 : 154,097.36 = 39,566.66 : x
  2. Step 2: Convert to fraction form
    102,732.68/154,097.36 = 39,566.66/x
  3. Step 3: Cross multiply
    102,732.68x = 154,097.36 × 39,566.66
  4. Step 4: Simplify right side
    102,732.68x = 6,097,117,652.18
  5. Step 5: Solve for x
    x = 6,097,117,652.18/102,732.68
  6. Step 6: Final answer
    x = 59,349.35

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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.