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Finding the Fourth Proportional to 55,646.40, 83,469.60 and 47,006.40

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Solution

The fourth proportional to 55,646.40, 83,469.60 and 47,006.40 is: 70,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,646.40 : 83,469.60 = 47,006.40 : x
  2. Step 2: Convert to fraction form
    55,646.40/83,469.60 = 47,006.40/x
  3. Step 3: Cross multiply
    55,646.40x = 83,469.60 × 47,006.40
  4. Step 4: Simplify right side
    55,646.40x = 3,923,605,405.44
  5. Step 5: Solve for x
    x = 3,923,605,405.44/55,646.40
  6. Step 6: Final answer
    x = 70,509.60

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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.