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Finding the Fourth Proportional to 105,615.70, 145,749.45 and 57,870.58

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Solution

The fourth proportional to 105,615.70, 145,749.45 and 57,870.58 is: 79,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,615.70 : 145,749.45 = 57,870.58 : x
  2. Step 2: Convert to fraction form
    105,615.70/145,749.45 = 57,870.58/x
  3. Step 3: Cross multiply
    105,615.70x = 145,749.45 × 57,870.58
  4. Step 4: Simplify right side
    105,615.70x = 8,434,605,206.18
  5. Step 5: Solve for x
    x = 8,434,605,206.18/105,615.70
  6. Step 6: Final answer
    x = 79,861.28

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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.