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Finding the Fourth Proportional to 105,091.70, 145,030.04 and 57,347.66

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Solution

The fourth proportional to 105,091.70, 145,030.04 and 57,347.66 is: 79,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,091.70 : 145,030.04 = 57,347.66 : x
  2. Step 2: Convert to fraction form
    105,091.70/145,030.04 = 57,347.66/x
  3. Step 3: Cross multiply
    105,091.70x = 145,030.04 × 57,347.66
  4. Step 4: Simplify right side
    105,091.70x = 8,317,133,499.54
  5. Step 5: Solve for x
    x = 8,317,133,499.54/105,091.70
  6. Step 6: Final answer
    x = 79,141.68

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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.