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Finding the Fourth Proportional to 40,970.40, 56,538 and 25,056.16

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Solution

The fourth proportional to 40,970.40, 56,538 and 25,056.16 is: 34,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,970.40 : 56,538 = 25,056.16 : x
  2. Step 2: Convert to fraction form
    40,970.40/56,538 = 25,056.16/x
  3. Step 3: Cross multiply
    40,970.40x = 56,538 × 25,056.16
  4. Step 4: Simplify right side
    40,970.40x = 1,416,625,174.08
  5. Step 5: Solve for x
    x = 1,416,625,174.08/40,970.40
  6. Step 6: Final answer
    x = 34,576.80

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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.