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Finding the Fourth Proportional to 34,171.50, 51,265.89 and 9,547.50

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Solution

The fourth proportional to 34,171.50, 51,265.89 and 9,547.50 is: 14,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171.50 : 51,265.89 = 9,547.50 : x
  2. Step 2: Convert to fraction form
    34,171.50/51,265.89 = 9,547.50/x
  3. Step 3: Cross multiply
    34,171.50x = 51,265.89 × 9,547.50
  4. Step 4: Simplify right side
    34,171.50x = 489,461,084.78
  5. Step 5: Solve for x
    x = 489,461,084.78/34,171.50
  6. Step 6: Final answer
    x = 14,323.66

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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.