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Finding the Fourth Proportional to 30,594.78, 45,816.03 and 19,468.62

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Solution

The fourth proportional to 30,594.78, 45,816.03 and 19,468.62 is: 29,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594.78 : 45,816.03 = 19,468.62 : x
  2. Step 2: Convert to fraction form
    30,594.78/45,816.03 = 19,468.62/x
  3. Step 3: Cross multiply
    30,594.78x = 45,816.03 × 19,468.62
  4. Step 4: Simplify right side
    30,594.78x = 891,974,877.98
  5. Step 5: Solve for x
    x = 891,974,877.98/30,594.78
  6. Step 6: Final answer
    x = 29,154.48

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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.