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Finding the Fourth Proportional to 105,676.08, 158,468.04 and 39,966

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Solution

The fourth proportional to 105,676.08, 158,468.04 and 39,966 is: 59,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,676.08 : 158,468.04 = 39,966 : x
  2. Step 2: Convert to fraction form
    105,676.08/158,468.04 = 39,966/x
  3. Step 3: Cross multiply
    105,676.08x = 158,468.04 × 39,966
  4. Step 4: Simplify right side
    105,676.08x = 6,333,333,686.64
  5. Step 5: Solve for x
    x = 6,333,333,686.64/105,676.08
  6. Step 6: Final answer
    x = 59,931.57

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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.