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Finding the Fourth Proportional to 30,230.84, 45,346.08 and 11,762.84

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Solution

The fourth proportional to 30,230.84, 45,346.08 and 11,762.84 is: 17,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.84 : 45,346.08 = 11,762.84 : x
  2. Step 2: Convert to fraction form
    30,230.84/45,346.08 = 11,762.84/x
  3. Step 3: Cross multiply
    30,230.84x = 45,346.08 × 11,762.84
  4. Step 4: Simplify right side
    30,230.84x = 533,398,683.67
  5. Step 5: Solve for x
    x = 533,398,683.67/30,230.84
  6. Step 6: Final answer
    x = 17,644.19

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1.5x scale

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.