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Finding the Fourth Proportional to 55,377, 76,421.91 and 30,228.12

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Solution

The fourth proportional to 55,377, 76,421.91 and 30,228.12 is: 41,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,377 : 76,421.91 = 30,228.12 : x
  2. Step 2: Convert to fraction form
    55,377/76,421.91 = 30,228.12/x
  3. Step 3: Cross multiply
    55,377x = 76,421.91 × 30,228.12
  4. Step 4: Simplify right side
    55,377x = 2,310,090,666.11
  5. Step 5: Solve for x
    x = 2,310,090,666.11/55,377
  6. Step 6: Final answer
    x = 41,715.71

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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.