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Finding the Fourth Proportional to 34,569.50, 51,854.25 and 9,945.50

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Solution

The fourth proportional to 34,569.50, 51,854.25 and 9,945.50 is: 14,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,569.50 : 51,854.25 = 9,945.50 : x
  2. Step 2: Convert to fraction form
    34,569.50/51,854.25 = 9,945.50/x
  3. Step 3: Cross multiply
    34,569.50x = 51,854.25 × 9,945.50
  4. Step 4: Simplify right side
    34,569.50x = 515,716,443.38
  5. Step 5: Solve for x
    x = 515,716,443.38/34,569.50
  6. Step 6: Final answer
    x = 14,918.25

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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.