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Finding the Fourth Proportional to 47,547, 65,632.14 and 27,675

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Solution

The fourth proportional to 47,547, 65,632.14 and 27,675 is: 38,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547 : 65,632.14 = 27,675 : x
  2. Step 2: Convert to fraction form
    47,547/65,632.14 = 27,675/x
  3. Step 3: Cross multiply
    47,547x = 65,632.14 × 27,675
  4. Step 4: Simplify right side
    47,547x = 1,816,369,474.50
  5. Step 5: Solve for x
    x = 1,816,369,474.50/47,547
  6. Step 6: Final answer
    x = 38,201.56

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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.