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Finding the Fourth Proportional to 35,892, 49,526.28 and 19,977.12

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Solution

The fourth proportional to 35,892, 49,526.28 and 19,977.12 is: 27,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892 : 49,526.28 = 19,977.12 : x
  2. Step 2: Convert to fraction form
    35,892/49,526.28 = 19,977.12/x
  3. Step 3: Cross multiply
    35,892x = 49,526.28 × 19,977.12
  4. Step 4: Simplify right side
    35,892x = 989,392,438.71
  5. Step 5: Solve for x
    x = 989,392,438.71/35,892
  6. Step 6: Final answer
    x = 27,565.82

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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.