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Finding the Fourth Proportional to 30,545.42, 45,803.65 and 11,834.22

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Solution

The fourth proportional to 30,545.42, 45,803.65 and 11,834.22 is: 17,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545.42 : 45,803.65 = 11,834.22 : x
  2. Step 2: Convert to fraction form
    30,545.42/45,803.65 = 11,834.22/x
  3. Step 3: Cross multiply
    30,545.42x = 45,803.65 × 11,834.22
  4. Step 4: Simplify right side
    30,545.42x = 542,050,470.90
  5. Step 5: Solve for x
    x = 542,050,470.90/30,545.42
  6. Step 6: Final answer
    x = 17,745.72

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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.