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Finding the Fourth Proportional to 30,700.44, 46,001.44 and 27,748

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Solution

The fourth proportional to 30,700.44, 46,001.44 and 27,748 is: 41,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.44 : 46,001.44 = 27,748 : x
  2. Step 2: Convert to fraction form
    30,700.44/46,001.44 = 27,748/x
  3. Step 3: Cross multiply
    30,700.44x = 46,001.44 × 27,748
  4. Step 4: Simplify right side
    30,700.44x = 1,276,447,957.12
  5. Step 5: Solve for x
    x = 1,276,447,957.12/30,700.44
  6. Step 6: Final answer
    x = 41,577.51

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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.