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Finding the Fourth Proportional to 52,101.94, 78,152.90 and 34,605.94

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Solution

The fourth proportional to 52,101.94, 78,152.90 and 34,605.94 is: 51,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.94 : 78,152.90 = 34,605.94 : x
  2. Step 2: Convert to fraction form
    52,101.94/78,152.90 = 34,605.94/x
  3. Step 3: Cross multiply
    52,101.94x = 78,152.90 × 34,605.94
  4. Step 4: Simplify right side
    52,101.94x = 2,704,554,263.98
  5. Step 5: Solve for x
    x = 2,704,554,263.98/52,101.94
  6. Step 6: Final answer
    x = 51,908.90

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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.