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Finding the Fourth Proportional to 115,257.96, 172,818.36 and 56,034

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Solution

The fourth proportional to 115,257.96, 172,818.36 and 56,034 is: 84,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,257.96 : 172,818.36 = 56,034 : x
  2. Step 2: Convert to fraction form
    115,257.96/172,818.36 = 56,034/x
  3. Step 3: Cross multiply
    115,257.96x = 172,818.36 × 56,034
  4. Step 4: Simplify right side
    115,257.96x = 9,683,703,984.24
  5. Step 5: Solve for x
    x = 9,683,703,984.24/115,257.96
  6. Step 6: Final answer
    x = 84,017.66

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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.