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Finding the Fourth Proportional to 65,289.75, 97,935.71 and 28,353.75

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Solution

The fourth proportional to 65,289.75, 97,935.71 and 28,353.75 is: 42,531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,289.75 : 97,935.71 = 28,353.75 : x
  2. Step 2: Convert to fraction form
    65,289.75/97,935.71 = 28,353.75/x
  3. Step 3: Cross multiply
    65,289.75x = 97,935.71 × 28,353.75
  4. Step 4: Simplify right side
    65,289.75x = 2,776,844,495.64
  5. Step 5: Solve for x
    x = 2,776,844,495.64/65,289.75
  6. Step 6: Final answer
    x = 42,531.09

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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.