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Finding the Fourth Proportional to 32,409.40, 48,614.10 and 27,225.40

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Solution

The fourth proportional to 32,409.40, 48,614.10 and 27,225.40 is: 40,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.40 : 48,614.10 = 27,225.40 : x
  2. Step 2: Convert to fraction form
    32,409.40/48,614.10 = 27,225.40/x
  3. Step 3: Cross multiply
    32,409.40x = 48,614.10 × 27,225.40
  4. Step 4: Simplify right side
    32,409.40x = 1,323,538,318.14
  5. Step 5: Solve for x
    x = 1,323,538,318.14/32,409.40
  6. Step 6: Final answer
    x = 40,838.10

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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.