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Finding the Fourth Proportional to 30,141, 45,206.64 and 21,349.26

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Solution

The fourth proportional to 30,141, 45,206.64 and 21,349.26 is: 32,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141 : 45,206.64 = 21,349.26 : x
  2. Step 2: Convert to fraction form
    30,141/45,206.64 = 21,349.26/x
  3. Step 3: Cross multiply
    30,141x = 45,206.64 × 21,349.26
  4. Step 4: Simplify right side
    30,141x = 965,128,311.09
  5. Step 5: Solve for x
    x = 965,128,311.09/30,141
  6. Step 6: Final answer
    x = 32,020.45

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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.