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Finding the Fourth Proportional to 83,300, 124,967.28 and 34,052

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Solution

The fourth proportional to 83,300, 124,967.28 and 34,052 is: 51,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,300 : 124,967.28 = 34,052 : x
  2. Step 2: Convert to fraction form
    83,300/124,967.28 = 34,052/x
  3. Step 3: Cross multiply
    83,300x = 124,967.28 × 34,052
  4. Step 4: Simplify right side
    83,300x = 4,255,385,818.56
  5. Step 5: Solve for x
    x = 4,255,385,818.56/83,300
  6. Step 6: Final answer
    x = 51,085.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.