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Finding the Fourth Proportional to 40,617.64, 56,036.10 and 25,705

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Solution

The fourth proportional to 40,617.64, 56,036.10 and 25,705 is: 35,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,617.64 : 56,036.10 = 25,705 : x
  2. Step 2: Convert to fraction form
    40,617.64/56,036.10 = 25,705/x
  3. Step 3: Cross multiply
    40,617.64x = 56,036.10 × 25,705
  4. Step 4: Simplify right side
    40,617.64x = 1,440,407,950.50
  5. Step 5: Solve for x
    x = 1,440,407,950.50/40,617.64
  6. Step 6: Final answer
    x = 35,462.62

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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.