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Finding the Fourth Proportional to 35,507.62, 49,000.71 and 19,592.08

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Solution

The fourth proportional to 35,507.62, 49,000.71 and 19,592.08 is: 27,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507.62 : 49,000.71 = 19,592.08 : x
  2. Step 2: Convert to fraction form
    35,507.62/49,000.71 = 19,592.08/x
  3. Step 3: Cross multiply
    35,507.62x = 49,000.71 × 19,592.08
  4. Step 4: Simplify right side
    35,507.62x = 960,025,830.38
  5. Step 5: Solve for x
    x = 960,025,830.38/35,507.62
  6. Step 6: Final answer
    x = 27,037.18

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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.