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Finding the Fourth Proportional to 34,176.30, 51,264.45 and 9,552.30

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Solution

The fourth proportional to 34,176.30, 51,264.45 and 9,552.30 is: 14,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.30 : 51,264.45 = 9,552.30 : x
  2. Step 2: Convert to fraction form
    34,176.30/51,264.45 = 9,552.30/x
  3. Step 3: Cross multiply
    34,176.30x = 51,264.45 × 9,552.30
  4. Step 4: Simplify right side
    34,176.30x = 489,693,405.74
  5. Step 5: Solve for x
    x = 489,693,405.74/34,176.30
  6. Step 6: Final answer
    x = 14,328.45

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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.