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Finding the Fourth Proportional to 51,212.40, 76,897.80 and 27,884.40

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Solution

The fourth proportional to 51,212.40, 76,897.80 and 27,884.40 is: 41,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,212.40 : 76,897.80 = 27,884.40 : x
  2. Step 2: Convert to fraction form
    51,212.40/76,897.80 = 27,884.40/x
  3. Step 3: Cross multiply
    51,212.40x = 76,897.80 × 27,884.40
  4. Step 4: Simplify right side
    51,212.40x = 2,144,249,014.32
  5. Step 5: Solve for x
    x = 2,144,249,014.32/51,212.40
  6. Step 6: Final answer
    x = 41,869.72

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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.