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Finding the Fourth Proportional to 32,154.48, 48,238.56 and 9,968.40

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Solution

The fourth proportional to 32,154.48, 48,238.56 and 9,968.40 is: 14,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154.48 : 48,238.56 = 9,968.40 : x
  2. Step 2: Convert to fraction form
    32,154.48/48,238.56 = 9,968.40/x
  3. Step 3: Cross multiply
    32,154.48x = 48,238.56 × 9,968.40
  4. Step 4: Simplify right side
    32,154.48x = 480,861,261.50
  5. Step 5: Solve for x
    x = 480,861,261.50/32,154.48
  6. Step 6: Final answer
    x = 14,954.72

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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.