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Finding the Fourth Proportional to 32,830.80, 49,219.20 and 14,125.20

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Solution

The fourth proportional to 32,830.80, 49,219.20 and 14,125.20 is: 21,176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.80 : 49,219.20 = 14,125.20 : x
  2. Step 2: Convert to fraction form
    32,830.80/49,219.20 = 14,125.20/x
  3. Step 3: Cross multiply
    32,830.80x = 49,219.20 × 14,125.20
  4. Step 4: Simplify right side
    32,830.80x = 695,231,043.84
  5. Step 5: Solve for x
    x = 695,231,043.84/32,830.80
  6. Step 6: Final answer
    x = 21,176.18

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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.