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Finding the Fourth Proportional to 32,880.64, 49,328.40 and 9,508.96

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Solution

The fourth proportional to 32,880.64, 49,328.40 and 9,508.96 is: 14,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880.64 : 49,328.40 = 9,508.96 : x
  2. Step 2: Convert to fraction form
    32,880.64/49,328.40 = 9,508.96/x
  3. Step 3: Cross multiply
    32,880.64x = 49,328.40 × 9,508.96
  4. Step 4: Simplify right side
    32,880.64x = 469,061,782.46
  5. Step 5: Solve for x
    x = 469,061,782.46/32,880.64
  6. Step 6: Final answer
    x = 14,265.59

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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.