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Finding the Fourth Proportional to 32,816.40, 49,219.80 and 9,440.40

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Solution

The fourth proportional to 32,816.40, 49,219.80 and 9,440.40 is: 14,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,816.40 : 49,219.80 = 9,440.40 : x
  2. Step 2: Convert to fraction form
    32,816.40/49,219.80 = 9,440.40/x
  3. Step 3: Cross multiply
    32,816.40x = 49,219.80 × 9,440.40
  4. Step 4: Simplify right side
    32,816.40x = 464,654,599.92
  5. Step 5: Solve for x
    x = 464,654,599.92/32,816.40
  6. Step 6: Final answer
    x = 14,159.22

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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.