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Finding the Fourth Proportional to 51,903.70, 77,855.55 and 35,314.90

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Solution

The fourth proportional to 51,903.70, 77,855.55 and 35,314.90 is: 52,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903.70 : 77,855.55 = 35,314.90 : x
  2. Step 2: Convert to fraction form
    51,903.70/77,855.55 = 35,314.90/x
  3. Step 3: Cross multiply
    51,903.70x = 77,855.55 × 35,314.90
  4. Step 4: Simplify right side
    51,903.70x = 2,749,460,962.70
  5. Step 5: Solve for x
    x = 2,749,460,962.70/51,903.70
  6. Step 6: Final answer
    x = 52,972.35

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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.