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Finding the Fourth Proportional to 34,113.84, 51,178.85 and 10,740.07

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Solution

The fourth proportional to 34,113.84, 51,178.85 and 10,740.07 is: 16,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,113.84 : 51,178.85 = 10,740.07 : x
  2. Step 2: Convert to fraction form
    34,113.84/51,178.85 = 10,740.07/x
  3. Step 3: Cross multiply
    34,113.84x = 51,178.85 × 10,740.07
  4. Step 4: Simplify right side
    34,113.84x = 549,664,431.52
  5. Step 5: Solve for x
    x = 549,664,431.52/34,113.84
  6. Step 6: Final answer
    x = 16,112.65

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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.