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Finding the Fourth Proportional to 30,462.57, 45,697.50 and 10,737.05

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Solution

The fourth proportional to 30,462.57, 45,697.50 and 10,737.05 is: 16,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.57 : 45,697.50 = 10,737.05 : x
  2. Step 2: Convert to fraction form
    30,462.57/45,697.50 = 10,737.05/x
  3. Step 3: Cross multiply
    30,462.57x = 45,697.50 × 10,737.05
  4. Step 4: Simplify right side
    30,462.57x = 490,656,113.89
  5. Step 5: Solve for x
    x = 490,656,113.89/30,462.57
  6. Step 6: Final answer
    x = 16,106.85

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1.5x scale

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.