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Finding the Fourth Proportional to 34,543.50, 51,545.84 and 30,820.13

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Solution

The fourth proportional to 34,543.50, 51,545.84 and 30,820.13 is: 45,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,543.50 : 51,545.84 = 30,820.13 : x
  2. Step 2: Convert to fraction form
    34,543.50/51,545.84 = 30,820.13/x
  3. Step 3: Cross multiply
    34,543.50x = 51,545.84 × 30,820.13
  4. Step 4: Simplify right side
    34,543.50x = 1,588,649,271.23
  5. Step 5: Solve for x
    x = 1,588,649,271.23/34,543.50
  6. Step 6: Final answer
    x = 45,989.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.