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Finding the Fourth Proportional to 103,546.51, 155,320.17 and 31,500.12

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Solution

The fourth proportional to 103,546.51, 155,320.17 and 31,500.12 is: 47,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,546.51 : 155,320.17 = 31,500.12 : x
  2. Step 2: Convert to fraction form
    103,546.51/155,320.17 = 31,500.12/x
  3. Step 3: Cross multiply
    103,546.51x = 155,320.17 × 31,500.12
  4. Step 4: Simplify right side
    103,546.51x = 4,892,604,457.75
  5. Step 5: Solve for x
    x = 4,892,604,457.75/103,546.51
  6. Step 6: Final answer
    x = 47,250.31

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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.