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Finding the Fourth Proportional to 32,184.80, 48,277.20 and 8,813.60

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Solution

The fourth proportional to 32,184.80, 48,277.20 and 8,813.60 is: 13,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.80 : 48,277.20 = 8,813.60 : x
  2. Step 2: Convert to fraction form
    32,184.80/48,277.20 = 8,813.60/x
  3. Step 3: Cross multiply
    32,184.80x = 48,277.20 × 8,813.60
  4. Step 4: Simplify right side
    32,184.80x = 425,495,929.92
  5. Step 5: Solve for x
    x = 425,495,929.92/32,184.80
  6. Step 6: Final answer
    x = 13,220.40

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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.