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Finding the Fourth Proportional to 51,742.64, 77,539.80 and 29,510

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Solution

The fourth proportional to 51,742.64, 77,539.80 and 29,510 is: 44,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,742.64 : 77,539.80 = 29,510 : x
  2. Step 2: Convert to fraction form
    51,742.64/77,539.80 = 29,510/x
  3. Step 3: Cross multiply
    51,742.64x = 77,539.80 × 29,510
  4. Step 4: Simplify right side
    51,742.64x = 2,288,199,498
  5. Step 5: Solve for x
    x = 2,288,199,498/51,742.64
  6. Step 6: Final answer
    x = 44,222.70

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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.