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Finding the Fourth Proportional to 74,294.96, 111,369 and 27,535.28

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Solution

The fourth proportional to 74,294.96, 111,369 and 27,535.28 is: 41,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,294.96 : 111,369 = 27,535.28 : x
  2. Step 2: Convert to fraction form
    74,294.96/111,369 = 27,535.28/x
  3. Step 3: Cross multiply
    74,294.96x = 111,369 × 27,535.28
  4. Step 4: Simplify right side
    74,294.96x = 3,066,576,598.32
  5. Step 5: Solve for x
    x = 3,066,576,598.32/74,294.96
  6. Step 6: Final answer
    x = 41,275.70

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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.