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Finding the Fourth Proportional to 52,318.40, 78,477.60 and 27,742.40

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Solution

The fourth proportional to 52,318.40, 78,477.60 and 27,742.40 is: 41,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,318.40 : 78,477.60 = 27,742.40 : x
  2. Step 2: Convert to fraction form
    52,318.40/78,477.60 = 27,742.40/x
  3. Step 3: Cross multiply
    52,318.40x = 78,477.60 × 27,742.40
  4. Step 4: Simplify right side
    52,318.40x = 2,177,156,970.24
  5. Step 5: Solve for x
    x = 2,177,156,970.24/52,318.40
  6. Step 6: Final answer
    x = 41,613.60

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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.