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Finding the Fourth Proportional to 30,330.90, 45,474.81 and 11,595.15

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Solution

The fourth proportional to 30,330.90, 45,474.81 and 11,595.15 is: 17,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,330.90 : 45,474.81 = 11,595.15 : x
  2. Step 2: Convert to fraction form
    30,330.90/45,474.81 = 11,595.15/x
  3. Step 3: Cross multiply
    30,330.90x = 45,474.81 × 11,595.15
  4. Step 4: Simplify right side
    30,330.90x = 527,287,243.17
  5. Step 5: Solve for x
    x = 527,287,243.17/30,330.90
  6. Step 6: Final answer
    x = 17,384.49

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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.