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Finding the Fourth Proportional to 46,632, 70,008.94 and 27,691.20

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Solution

The fourth proportional to 46,632, 70,008.94 and 27,691.20 is: 41,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,632 : 70,008.94 = 27,691.20 : x
  2. Step 2: Convert to fraction form
    46,632/70,008.94 = 27,691.20/x
  3. Step 3: Cross multiply
    46,632x = 70,008.94 × 27,691.20
  4. Step 4: Simplify right side
    46,632x = 1,938,631,559.33
  5. Step 5: Solve for x
    x = 1,938,631,559.33/46,632
  6. Step 6: Final answer
    x = 41,572.99

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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.