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Finding the Fourth Proportional to 32,176.40, 48,264.60 and 9,989.60

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Solution

The fourth proportional to 32,176.40, 48,264.60 and 9,989.60 is: 14,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.40 : 48,264.60 = 9,989.60 : x
  2. Step 2: Convert to fraction form
    32,176.40/48,264.60 = 9,989.60/x
  3. Step 3: Cross multiply
    32,176.40x = 48,264.60 × 9,989.60
  4. Step 4: Simplify right side
    32,176.40x = 482,144,048.16
  5. Step 5: Solve for x
    x = 482,144,048.16/32,176.40
  6. Step 6: Final answer
    x = 14,984.40

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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.