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Finding the Fourth Proportional to 30,133.44, 45,134.40 and 18,411.12

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Solution

The fourth proportional to 30,133.44, 45,134.40 and 18,411.12 is: 27,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.44 : 45,134.40 = 18,411.12 : x
  2. Step 2: Convert to fraction form
    30,133.44/45,134.40 = 18,411.12/x
  3. Step 3: Cross multiply
    30,133.44x = 45,134.40 × 18,411.12
  4. Step 4: Simplify right side
    30,133.44x = 830,974,854.53
  5. Step 5: Solve for x
    x = 830,974,854.53/30,133.44
  6. Step 6: Final answer
    x = 27,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.