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Finding the Fourth Proportional to 105,559.83, 145,668.65 and 57,813.57

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Solution

The fourth proportional to 105,559.83, 145,668.65 and 57,813.57 is: 79,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,559.83 : 145,668.65 = 57,813.57 : x
  2. Step 2: Convert to fraction form
    105,559.83/145,668.65 = 57,813.57/x
  3. Step 3: Cross multiply
    105,559.83x = 145,668.65 × 57,813.57
  4. Step 4: Simplify right side
    105,559.83x = 8,421,624,404.51
  5. Step 5: Solve for x
    x = 8,421,624,404.51/105,559.83
  6. Step 6: Final answer
    x = 79,780.58

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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.