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Finding the Fourth Proportional to 85,211.40, 127,817.10 and 22,031.40

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Solution

The fourth proportional to 85,211.40, 127,817.10 and 22,031.40 is: 33,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,211.40 : 127,817.10 = 22,031.40 : x
  2. Step 2: Convert to fraction form
    85,211.40/127,817.10 = 22,031.40/x
  3. Step 3: Cross multiply
    85,211.40x = 127,817.10 × 22,031.40
  4. Step 4: Simplify right side
    85,211.40x = 2,815,989,656.94
  5. Step 5: Solve for x
    x = 2,815,989,656.94/85,211.40
  6. Step 6: Final answer
    x = 33,047.10

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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.