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Finding the Fourth Proportional to 30,496.15, 45,744.23 and 20,032.30

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Solution

The fourth proportional to 30,496.15, 45,744.23 and 20,032.30 is: 30,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.15 : 45,744.23 = 20,032.30 : x
  2. Step 2: Convert to fraction form
    30,496.15/45,744.23 = 20,032.30/x
  3. Step 3: Cross multiply
    30,496.15x = 45,744.23 × 20,032.30
  4. Step 4: Simplify right side
    30,496.15x = 916,362,038.47
  5. Step 5: Solve for x
    x = 916,362,038.47/30,496.15
  6. Step 6: Final answer
    x = 30,048.45

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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.