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Finding the Fourth Proportional to 30,264.96, 45,400.68 and 9,204.96

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Solution

The fourth proportional to 30,264.96, 45,400.68 and 9,204.96 is: 13,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.96 : 45,400.68 = 9,204.96 : x
  2. Step 2: Convert to fraction form
    30,264.96/45,400.68 = 9,204.96/x
  3. Step 3: Cross multiply
    30,264.96x = 45,400.68 × 9,204.96
  4. Step 4: Simplify right side
    30,264.96x = 417,911,443.37
  5. Step 5: Solve for x
    x = 417,911,443.37/30,264.96
  6. Step 6: Final answer
    x = 13,808.43

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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.