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Finding the Fourth Proportional to 103,007.60, 154,535.50 and 31,926.54

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Solution

The fourth proportional to 103,007.60, 154,535.50 and 31,926.54 is: 47,897.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,007.60 : 154,535.50 = 31,926.54 : x
  2. Step 2: Convert to fraction form
    103,007.60/154,535.50 = 31,926.54/x
  3. Step 3: Cross multiply
    103,007.60x = 154,535.50 × 31,926.54
  4. Step 4: Simplify right side
    103,007.60x = 4,933,783,822.17
  5. Step 5: Solve for x
    x = 4,933,783,822.17/103,007.60
  6. Step 6: Final answer
    x = 47,897.28

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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.