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Finding the Fourth Proportional to 52,012.50, 78,030.46 and 16,475.96

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Solution

The fourth proportional to 52,012.50, 78,030.46 and 16,475.96 is: 24,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.50 : 78,030.46 = 16,475.96 : x
  2. Step 2: Convert to fraction form
    52,012.50/78,030.46 = 16,475.96/x
  3. Step 3: Cross multiply
    52,012.50x = 78,030.46 × 16,475.96
  4. Step 4: Simplify right side
    52,012.50x = 1,285,626,737.74
  5. Step 5: Solve for x
    x = 1,285,626,737.74/52,012.50
  6. Step 6: Final answer
    x = 24,717.65

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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.