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Finding the Fourth Proportional to 77,949.36, 107,569.71 and 42,139.04

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Solution

The fourth proportional to 77,949.36, 107,569.71 and 42,139.04 is: 58,151.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,949.36 : 107,569.71 = 42,139.04 : x
  2. Step 2: Convert to fraction form
    77,949.36/107,569.71 = 42,139.04/x
  3. Step 3: Cross multiply
    77,949.36x = 107,569.71 × 42,139.04
  4. Step 4: Simplify right side
    77,949.36x = 4,532,883,774.63
  5. Step 5: Solve for x
    x = 4,532,883,774.63/77,949.36
  6. Step 6: Final answer
    x = 58,151.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.