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Finding the Fourth Proportional to 30,032.34, 45,051.59 and 10,308.34

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Solution

The fourth proportional to 30,032.34, 45,051.59 and 10,308.34 is: 15,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032.34 : 45,051.59 = 10,308.34 : x
  2. Step 2: Convert to fraction form
    30,032.34/45,051.59 = 10,308.34/x
  3. Step 3: Cross multiply
    30,032.34x = 45,051.59 × 10,308.34
  4. Step 4: Simplify right side
    30,032.34x = 464,407,107.26
  5. Step 5: Solve for x
    x = 464,407,107.26/30,032.34
  6. Step 6: Final answer
    x = 15,463.57

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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.