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Finding the Fourth Proportional to 34,817.60, 52,149.60 and 14,030.40

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Solution

The fourth proportional to 34,817.60, 52,149.60 and 14,030.40 is: 21,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,817.60 : 52,149.60 = 14,030.40 : x
  2. Step 2: Convert to fraction form
    34,817.60/52,149.60 = 14,030.40/x
  3. Step 3: Cross multiply
    34,817.60x = 52,149.60 × 14,030.40
  4. Step 4: Simplify right side
    34,817.60x = 731,679,747.84
  5. Step 5: Solve for x
    x = 731,679,747.84/34,817.60
  6. Step 6: Final answer
    x = 21,014.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.