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Finding the Fourth Proportional to 30,453.60, 42,140.88 and 25,970.16

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Solution

The fourth proportional to 30,453.60, 42,140.88 and 25,970.16 is: 35,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,453.60 : 42,140.88 = 25,970.16 : x
  2. Step 2: Convert to fraction form
    30,453.60/42,140.88 = 25,970.16/x
  3. Step 3: Cross multiply
    30,453.60x = 42,140.88 × 25,970.16
  4. Step 4: Simplify right side
    30,453.60x = 1,094,405,396.14
  5. Step 5: Solve for x
    x = 1,094,405,396.14/30,453.60
  6. Step 6: Final answer
    x = 35,936.82

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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.