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Finding the Fourth Proportional to 30,415.40, 45,623.10 and 8,232.20

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Solution

The fourth proportional to 30,415.40, 45,623.10 and 8,232.20 is: 12,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.40 : 45,623.10 = 8,232.20 : x
  2. Step 2: Convert to fraction form
    30,415.40/45,623.10 = 8,232.20/x
  3. Step 3: Cross multiply
    30,415.40x = 45,623.10 × 8,232.20
  4. Step 4: Simplify right side
    30,415.40x = 375,578,483.82
  5. Step 5: Solve for x
    x = 375,578,483.82/30,415.40
  6. Step 6: Final answer
    x = 12,348.30

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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.