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Finding the Fourth Proportional to 34,114.98, 51,154.65 and 10,735.14

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Solution

The fourth proportional to 34,114.98, 51,154.65 and 10,735.14 is: 16,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.98 : 51,154.65 = 10,735.14 : x
  2. Step 2: Convert to fraction form
    34,114.98/51,154.65 = 10,735.14/x
  3. Step 3: Cross multiply
    34,114.98x = 51,154.65 × 10,735.14
  4. Step 4: Simplify right side
    34,114.98x = 549,152,329.40
  5. Step 5: Solve for x
    x = 549,152,329.40/34,114.98
  6. Step 6: Final answer
    x = 16,097.10

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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.