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Finding the Fourth Proportional to 35,730, 49,308.90 and 19,814.46

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Solution

The fourth proportional to 35,730, 49,308.90 and 19,814.46 is: 27,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730 : 49,308.90 = 19,814.46 : x
  2. Step 2: Convert to fraction form
    35,730/49,308.90 = 19,814.46/x
  3. Step 3: Cross multiply
    35,730x = 49,308.90 × 19,814.46
  4. Step 4: Simplify right side
    35,730x = 977,029,226.69
  5. Step 5: Solve for x
    x = 977,029,226.69/35,730
  6. Step 6: Final answer
    x = 27,344.79

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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.