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Finding the Fourth Proportional to 30,617.43, 45,929.06 and 11,898.92

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Solution

The fourth proportional to 30,617.43, 45,929.06 and 11,898.92 is: 17,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,617.43 : 45,929.06 = 11,898.92 : x
  2. Step 2: Convert to fraction form
    30,617.43/45,929.06 = 11,898.92/x
  3. Step 3: Cross multiply
    30,617.43x = 45,929.06 × 11,898.92
  4. Step 4: Simplify right side
    30,617.43x = 546,506,018.75
  5. Step 5: Solve for x
    x = 546,506,018.75/30,617.43
  6. Step 6: Final answer
    x = 17,849.50

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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.