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Finding the Fourth Proportional to 43,657.16, 65,486.19 and 34,947.44

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Solution

The fourth proportional to 43,657.16, 65,486.19 and 34,947.44 is: 52,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,657.16 : 65,486.19 = 34,947.44 : x
  2. Step 2: Convert to fraction form
    43,657.16/65,486.19 = 34,947.44/x
  3. Step 3: Cross multiply
    43,657.16x = 65,486.19 × 34,947.44
  4. Step 4: Simplify right side
    43,657.16x = 2,288,574,368.42
  5. Step 5: Solve for x
    x = 2,288,574,368.42/43,657.16
  6. Step 6: Final answer
    x = 52,421.52

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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.