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Finding the Fourth Proportional to 35,088, 48,421.44 and 20,184

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Solution

The fourth proportional to 35,088, 48,421.44 and 20,184 is: 27,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,088 : 48,421.44 = 20,184 : x
  2. Step 2: Convert to fraction form
    35,088/48,421.44 = 20,184/x
  3. Step 3: Cross multiply
    35,088x = 48,421.44 × 20,184
  4. Step 4: Simplify right side
    35,088x = 977,338,344.96
  5. Step 5: Solve for x
    x = 977,338,344.96/35,088
  6. Step 6: Final answer
    x = 27,853.92

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Why These Related Problems?

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