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Finding the Fourth Proportional to 35,882.32, 49,508.40 and 21,730

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Solution

The fourth proportional to 35,882.32, 49,508.40 and 21,730 is: 29,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.32 : 49,508.40 = 21,730 : x
  2. Step 2: Convert to fraction form
    35,882.32/49,508.40 = 21,730/x
  3. Step 3: Cross multiply
    35,882.32x = 49,508.40 × 21,730
  4. Step 4: Simplify right side
    35,882.32x = 1,075,817,532
  5. Step 5: Solve for x
    x = 1,075,817,532/35,882.32
  6. Step 6: Final answer
    x = 29,981.83

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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.