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Finding the Fourth Proportional to 35,530.23, 49,031.76 and 19,614.75

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Solution

The fourth proportional to 35,530.23, 49,031.76 and 19,614.75 is: 27,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530.23 : 49,031.76 = 19,614.75 : x
  2. Step 2: Convert to fraction form
    35,530.23/49,031.76 = 19,614.75/x
  3. Step 3: Cross multiply
    35,530.23x = 49,031.76 × 19,614.75
  4. Step 4: Simplify right side
    35,530.23x = 961,745,714.46
  5. Step 5: Solve for x
    x = 961,745,714.46/35,530.23
  6. Step 6: Final answer
    x = 27,068.38

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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.