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Finding the Fourth Proportional to 32,689.92, 48,973.20 and 19,323

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Solution

The fourth proportional to 32,689.92, 48,973.20 and 19,323 is: 28,948.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689.92 : 48,973.20 = 19,323 : x
  2. Step 2: Convert to fraction form
    32,689.92/48,973.20 = 19,323/x
  3. Step 3: Cross multiply
    32,689.92x = 48,973.20 × 19,323
  4. Step 4: Simplify right side
    32,689.92x = 946,309,143.60
  5. Step 5: Solve for x
    x = 946,309,143.60/32,689.92
  6. Step 6: Final answer
    x = 28,948.04

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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.