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Finding the Fourth Proportional to 34,778.16, 52,176.96 and 11,421

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Solution

The fourth proportional to 34,778.16, 52,176.96 and 11,421 is: 17,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,778.16 : 52,176.96 = 11,421 : x
  2. Step 2: Convert to fraction form
    34,778.16/52,176.96 = 11,421/x
  3. Step 3: Cross multiply
    34,778.16x = 52,176.96 × 11,421
  4. Step 4: Simplify right side
    34,778.16x = 595,913,060.16
  5. Step 5: Solve for x
    x = 595,913,060.16/34,778.16
  6. Step 6: Final answer
    x = 17,134.69

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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.