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Finding the Fourth Proportional to 105,610.50, 145,742.58 and 57,864.06

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Solution

The fourth proportional to 105,610.50, 145,742.58 and 57,864.06 is: 79,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,610.50 : 145,742.58 = 57,864.06 : x
  2. Step 2: Convert to fraction form
    105,610.50/145,742.58 = 57,864.06/x
  3. Step 3: Cross multiply
    105,610.50x = 145,742.58 × 57,864.06
  4. Step 4: Simplify right side
    105,610.50x = 8,433,257,393.67
  5. Step 5: Solve for x
    x = 8,433,257,393.67/105,610.50
  6. Step 6: Final answer
    x = 79,852.45

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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.