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Finding the Fourth Proportional to 56,730.88, 85,096.74 and 21,200.23

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Solution

The fourth proportional to 56,730.88, 85,096.74 and 21,200.23 is: 31,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,730.88 : 85,096.74 = 21,200.23 : x
  2. Step 2: Convert to fraction form
    56,730.88/85,096.74 = 21,200.23/x
  3. Step 3: Cross multiply
    56,730.88x = 85,096.74 × 21,200.23
  4. Step 4: Simplify right side
    56,730.88x = 1,804,070,646.12
  5. Step 5: Solve for x
    x = 1,804,070,646.12/56,730.88
  6. Step 6: Final answer
    x = 31,800.50

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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.