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Finding the Fourth Proportional to 105,430.45, 145,493.93 and 57,683.99

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Solution

The fourth proportional to 105,430.45, 145,493.93 and 57,683.99 is: 79,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,430.45 : 145,493.93 = 57,683.99 : x
  2. Step 2: Convert to fraction form
    105,430.45/145,493.93 = 57,683.99/x
  3. Step 3: Cross multiply
    105,430.45x = 145,493.93 × 57,683.99
  4. Step 4: Simplify right side
    105,430.45x = 8,392,669,387.29
  5. Step 5: Solve for x
    x = 8,392,669,387.29/105,430.45
  6. Step 6: Final answer
    x = 79,603.85

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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.