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Finding the Fourth Proportional to 30,276.64, 45,412.08 and 9,496.48

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Solution

The fourth proportional to 30,276.64, 45,412.08 and 9,496.48 is: 14,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,276.64 : 45,412.08 = 9,496.48 : x
  2. Step 2: Convert to fraction form
    30,276.64/45,412.08 = 9,496.48/x
  3. Step 3: Cross multiply
    30,276.64x = 45,412.08 × 9,496.48
  4. Step 4: Simplify right side
    30,276.64x = 431,254,909.48
  5. Step 5: Solve for x
    x = 431,254,909.48/30,276.64
  6. Step 6: Final answer
    x = 14,243.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.