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Finding the Fourth Proportional to 30,541.64, 45,812.99 and 9,765.14

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Solution

The fourth proportional to 30,541.64, 45,812.99 and 9,765.14 is: 14,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.64 : 45,812.99 = 9,765.14 : x
  2. Step 2: Convert to fraction form
    30,541.64/45,812.99 = 9,765.14/x
  3. Step 3: Cross multiply
    30,541.64x = 45,812.99 × 9,765.14
  4. Step 4: Simplify right side
    30,541.64x = 447,370,056.52
  5. Step 5: Solve for x
    x = 447,370,056.52/30,541.64
  6. Step 6: Final answer
    x = 14,647.88

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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.