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Finding the Fourth Proportional to 53,096.68, 79,658.81 and 19,817

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Solution

The fourth proportional to 53,096.68, 79,658.81 and 19,817 is: 29,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,096.68 : 79,658.81 = 19,817 : x
  2. Step 2: Convert to fraction form
    53,096.68/79,658.81 = 19,817/x
  3. Step 3: Cross multiply
    53,096.68x = 79,658.81 × 19,817
  4. Step 4: Simplify right side
    53,096.68x = 1,578,598,637.77
  5. Step 5: Solve for x
    x = 1,578,598,637.77/53,096.68
  6. Step 6: Final answer
    x = 29,730.65

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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.