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Finding the Fourth Proportional to 30,700.43, 46,001.47 and 27,747.98

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Solution

The fourth proportional to 30,700.43, 46,001.47 and 27,747.98 is: 41,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.43 : 46,001.47 = 27,747.98 : x
  2. Step 2: Convert to fraction form
    30,700.43/46,001.47 = 27,747.98/x
  3. Step 3: Cross multiply
    30,700.43x = 46,001.47 × 27,747.98
  4. Step 4: Simplify right side
    30,700.43x = 1,276,447,869.53
  5. Step 5: Solve for x
    x = 1,276,447,869.53/30,700.43
  6. Step 6: Final answer
    x = 41,577.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.