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Finding the Fourth Proportional to 107,040.72, 147,704.16 and 59,282

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Solution

The fourth proportional to 107,040.72, 147,704.16 and 59,282 is: 81,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,040.72 : 147,704.16 = 59,282 : x
  2. Step 2: Convert to fraction form
    107,040.72/147,704.16 = 59,282/x
  3. Step 3: Cross multiply
    107,040.72x = 147,704.16 × 59,282
  4. Step 4: Simplify right side
    107,040.72x = 8,756,198,013.12
  5. Step 5: Solve for x
    x = 8,756,198,013.12/107,040.72
  6. Step 6: Final answer
    x = 81,802.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.