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Finding the Fourth Proportional to 55,972.83, 77,235.17 and 34,473.81

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Solution

The fourth proportional to 55,972.83, 77,235.17 and 34,473.81 is: 47,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,972.83 : 77,235.17 = 34,473.81 : x
  2. Step 2: Convert to fraction form
    55,972.83/77,235.17 = 34,473.81/x
  3. Step 3: Cross multiply
    55,972.83x = 77,235.17 × 34,473.81
  4. Step 4: Simplify right side
    55,972.83x = 2,662,590,403.53
  5. Step 5: Solve for x
    x = 2,662,590,403.53/55,972.83
  6. Step 6: Final answer
    x = 47,569.34

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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.