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Finding the Fourth Proportional to 105,561.33, 145,669.08 and 57,813.66

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Solution

The fourth proportional to 105,561.33, 145,669.08 and 57,813.66 is: 79,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,561.33 : 145,669.08 = 57,813.66 : x
  2. Step 2: Convert to fraction form
    105,561.33/145,669.08 = 57,813.66/x
  3. Step 3: Cross multiply
    105,561.33x = 145,669.08 × 57,813.66
  4. Step 4: Simplify right side
    105,561.33x = 8,421,662,663.63
  5. Step 5: Solve for x
    x = 8,421,662,663.63/105,561.33
  6. Step 6: Final answer
    x = 79,779.81

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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.