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Finding the Fourth Proportional to 103,285.26, 154,933.65 and 29,407.50

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Solution

The fourth proportional to 103,285.26, 154,933.65 and 29,407.50 is: 44,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,285.26 : 154,933.65 = 29,407.50 : x
  2. Step 2: Convert to fraction form
    103,285.26/154,933.65 = 29,407.50/x
  3. Step 3: Cross multiply
    103,285.26x = 154,933.65 × 29,407.50
  4. Step 4: Simplify right side
    103,285.26x = 4,556,211,312.38
  5. Step 5: Solve for x
    x = 4,556,211,312.38/103,285.26
  6. Step 6: Final answer
    x = 44,112.89

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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.