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Finding the Fourth Proportional to 35,490.84, 48,977.62 and 19,574.88

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Solution

The fourth proportional to 35,490.84, 48,977.62 and 19,574.88 is: 27,013.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,490.84 : 48,977.62 = 19,574.88 : x
  2. Step 2: Convert to fraction form
    35,490.84/48,977.62 = 19,574.88/x
  3. Step 3: Cross multiply
    35,490.84x = 48,977.62 × 19,574.88
  4. Step 4: Simplify right side
    35,490.84x = 958,731,034.19
  5. Step 5: Solve for x
    x = 958,731,034.19/35,490.84
  6. Step 6: Final answer
    x = 27,013.48

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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.