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Finding the Fourth Proportional to 32,283.84, 48,423.88 and 14,509.92

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Solution

The fourth proportional to 32,283.84, 48,423.88 and 14,509.92 is: 21,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.84 : 48,423.88 = 14,509.92 : x
  2. Step 2: Convert to fraction form
    32,283.84/48,423.88 = 14,509.92/x
  3. Step 3: Cross multiply
    32,283.84x = 48,423.88 × 14,509.92
  4. Step 4: Simplify right side
    32,283.84x = 702,626,624.89
  5. Step 5: Solve for x
    x = 702,626,624.89/32,283.84
  6. Step 6: Final answer
    x = 21,764.04

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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.