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Finding the Fourth Proportional to 32,830, 45,305.52 and 17,926

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Solution

The fourth proportional to 32,830, 45,305.52 and 17,926 is: 24,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830 : 45,305.52 = 17,926 : x
  2. Step 2: Convert to fraction form
    32,830/45,305.52 = 17,926/x
  3. Step 3: Cross multiply
    32,830x = 45,305.52 × 17,926
  4. Step 4: Simplify right side
    32,830x = 812,146,751.52
  5. Step 5: Solve for x
    x = 812,146,751.52/32,830
  6. Step 6: Final answer
    x = 24,737.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.