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Finding the Fourth Proportional to 30,228.61, 45,343.32 and 10,507.54

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Solution

The fourth proportional to 30,228.61, 45,343.32 and 10,507.54 is: 15,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228.61 : 45,343.32 = 10,507.54 : x
  2. Step 2: Convert to fraction form
    30,228.61/45,343.32 = 10,507.54/x
  3. Step 3: Cross multiply
    30,228.61x = 45,343.32 × 10,507.54
  4. Step 4: Simplify right side
    30,228.61x = 476,446,748.63
  5. Step 5: Solve for x
    x = 476,446,748.63/30,228.61
  6. Step 6: Final answer
    x = 15,761.45

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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.