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Finding the Fourth Proportional to 105,585.34, 145,707.77 and 57,838.68

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Solution

The fourth proportional to 105,585.34, 145,707.77 and 57,838.68 is: 79,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,585.34 : 145,707.77 = 57,838.68 : x
  2. Step 2: Convert to fraction form
    105,585.34/145,707.77 = 57,838.68/x
  3. Step 3: Cross multiply
    105,585.34x = 145,707.77 × 57,838.68
  4. Step 4: Simplify right side
    105,585.34x = 8,427,544,429.08
  5. Step 5: Solve for x
    x = 8,427,544,429.08/105,585.34
  6. Step 6: Final answer
    x = 79,817.37

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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.