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Finding the Fourth Proportional to 105,732.80, 158,599.44 and 35,661.32

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Solution

The fourth proportional to 105,732.80, 158,599.44 and 35,661.32 is: 53,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732.80 : 158,599.44 = 35,661.32 : x
  2. Step 2: Convert to fraction form
    105,732.80/158,599.44 = 35,661.32/x
  3. Step 3: Cross multiply
    105,732.80x = 158,599.44 × 35,661.32
  4. Step 4: Simplify right side
    105,732.80x = 5,655,865,381.66
  5. Step 5: Solve for x
    x = 5,655,865,381.66/105,732.80
  6. Step 6: Final answer
    x = 53,492.06

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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.