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Finding the Fourth Proportional to 43,702.18, 65,563 and 12,535

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Solution

The fourth proportional to 43,702.18, 65,563 and 12,535 is: 18,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,702.18 : 65,563 = 12,535 : x
  2. Step 2: Convert to fraction form
    43,702.18/65,563 = 12,535/x
  3. Step 3: Cross multiply
    43,702.18x = 65,563 × 12,535
  4. Step 4: Simplify right side
    43,702.18x = 821,832,205
  5. Step 5: Solve for x
    x = 821,832,205/43,702.18
  6. Step 6: Final answer
    x = 18,805.29

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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.