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Finding the Fourth Proportional to 103,000.38, 154,461.69 and 47,557.50

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Solution

The fourth proportional to 103,000.38, 154,461.69 and 47,557.50 is: 71,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,000.38 : 154,461.69 = 47,557.50 : x
  2. Step 2: Convert to fraction form
    103,000.38/154,461.69 = 47,557.50/x
  3. Step 3: Cross multiply
    103,000.38x = 154,461.69 × 47,557.50
  4. Step 4: Simplify right side
    103,000.38x = 7,345,811,822.18
  5. Step 5: Solve for x
    x = 7,345,811,822.18/103,000.38
  6. Step 6: Final answer
    x = 71,318.30

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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.