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Finding the Fourth Proportional to 77,949.16, 107,572.26 and 44,413

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Solution

The fourth proportional to 77,949.16, 107,572.26 and 44,413 is: 61,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,949.16 : 107,572.26 = 44,413 : x
  2. Step 2: Convert to fraction form
    77,949.16/107,572.26 = 44,413/x
  3. Step 3: Cross multiply
    77,949.16x = 107,572.26 × 44,413
  4. Step 4: Simplify right side
    77,949.16x = 4,777,606,783.38
  5. Step 5: Solve for x
    x = 4,777,606,783.38/77,949.16
  6. Step 6: Final answer
    x = 61,291.32

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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.