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Finding the Fourth Proportional to 30,011.32, 45,017.01 and 7,824.68

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Solution

The fourth proportional to 30,011.32, 45,017.01 and 7,824.68 is: 11,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,011.32 : 45,017.01 = 7,824.68 : x
  2. Step 2: Convert to fraction form
    30,011.32/45,017.01 = 7,824.68/x
  3. Step 3: Cross multiply
    30,011.32x = 45,017.01 × 7,824.68
  4. Step 4: Simplify right side
    30,011.32x = 352,243,472.72
  5. Step 5: Solve for x
    x = 352,243,472.72/30,011.32
  6. Step 6: Final answer
    x = 11,737.02

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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.