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Finding the Fourth Proportional to 102,369.77, 153,555.05 and 31,292.14

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Solution

The fourth proportional to 102,369.77, 153,555.05 and 31,292.14 is: 46,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,369.77 : 153,555.05 = 31,292.14 : x
  2. Step 2: Convert to fraction form
    102,369.77/153,555.05 = 31,292.14/x
  3. Step 3: Cross multiply
    102,369.77x = 153,555.05 × 31,292.14
  4. Step 4: Simplify right side
    102,369.77x = 4,805,065,672.69
  5. Step 5: Solve for x
    x = 4,805,065,672.69/102,369.77
  6. Step 6: Final answer
    x = 46,938.33

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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.