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Finding the Fourth Proportional to 65,281.52, 97,922.30 and 16,033.52

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Solution

The fourth proportional to 65,281.52, 97,922.30 and 16,033.52 is: 24,050.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,281.52 : 97,922.30 = 16,033.52 : x
  2. Step 2: Convert to fraction form
    65,281.52/97,922.30 = 16,033.52/x
  3. Step 3: Cross multiply
    65,281.52x = 97,922.30 × 16,033.52
  4. Step 4: Simplify right side
    65,281.52x = 1,570,039,155.50
  5. Step 5: Solve for x
    x = 1,570,039,155.50/65,281.52
  6. Step 6: Final answer
    x = 24,050.28

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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.