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Finding the Fourth Proportional to 105,647.76, 158,462.10 and 39,088.44

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Solution

The fourth proportional to 105,647.76, 158,462.10 and 39,088.44 is: 58,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,647.76 : 158,462.10 = 39,088.44 : x
  2. Step 2: Convert to fraction form
    105,647.76/158,462.10 = 39,088.44/x
  3. Step 3: Cross multiply
    105,647.76x = 158,462.10 × 39,088.44
  4. Step 4: Simplify right side
    105,647.76x = 6,194,036,288.12
  5. Step 5: Solve for x
    x = 6,194,036,288.12/105,647.76
  6. Step 6: Final answer
    x = 58,629.13

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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.