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Finding the Fourth Proportional to 40,830, 56,349.72 and 25,926

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Solution

The fourth proportional to 40,830, 56,349.72 and 25,926 is: 35,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,830 : 56,349.72 = 25,926 : x
  2. Step 2: Convert to fraction form
    40,830/56,349.72 = 25,926/x
  3. Step 3: Cross multiply
    40,830x = 56,349.72 × 25,926
  4. Step 4: Simplify right side
    40,830x = 1,460,922,840.72
  5. Step 5: Solve for x
    x = 1,460,922,840.72/40,830
  6. Step 6: Final answer
    x = 35,780.62

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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.