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Finding the Fourth Proportional to 29,543.48, 40,785.05 and 22,814

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Solution

The fourth proportional to 29,543.48, 40,785.05 and 22,814 is: 31,494.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,543.48 : 40,785.05 = 22,814 : x
  2. Step 2: Convert to fraction form
    29,543.48/40,785.05 = 22,814/x
  3. Step 3: Cross multiply
    29,543.48x = 40,785.05 × 22,814
  4. Step 4: Simplify right side
    29,543.48x = 930,470,130.70
  5. Step 5: Solve for x
    x = 930,470,130.70/29,543.48
  6. Step 6: Final answer
    x = 31,494.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.