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Finding the Fourth Proportional to 65,120.56, 89,866.38 and 35,312.56

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Solution

The fourth proportional to 65,120.56, 89,866.38 and 35,312.56 is: 48,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,120.56 : 89,866.38 = 35,312.56 : x
  2. Step 2: Convert to fraction form
    65,120.56/89,866.38 = 35,312.56/x
  3. Step 3: Cross multiply
    65,120.56x = 89,866.38 × 35,312.56
  4. Step 4: Simplify right side
    65,120.56x = 3,173,411,935.73
  5. Step 5: Solve for x
    x = 3,173,411,935.73/65,120.56
  6. Step 6: Final answer
    x = 48,731.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.