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Finding the Fourth Proportional to 30,330, 45,501.84 and 11,862

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Solution

The fourth proportional to 30,330, 45,501.84 and 11,862 is: 17,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,330 : 45,501.84 = 11,862 : x
  2. Step 2: Convert to fraction form
    30,330/45,501.84 = 11,862/x
  3. Step 3: Cross multiply
    30,330x = 45,501.84 × 11,862
  4. Step 4: Simplify right side
    30,330x = 539,742,826.08
  5. Step 5: Solve for x
    x = 539,742,826.08/30,330
  6. Step 6: Final answer
    x = 17,795.68

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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.